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STOCKHOLDERS’ EQUITY (Details Narrative) |  |  |  |  |  | 1 Months Ended | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended | 116 Months Ended |  |  |  |  |
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Jul. 12, 2021 $ / shares shares | Jun. 24, 2021 $ / shares | Jun. 17, 2021 USD ($) shares | Jun. 15, 2021 USD ($) $ / shares shares | Jan. 23, 2012 USD ($) $ / shares shares | Sep. 30, 2021 USD ($) Integer $ / shares shares | Sep. 30, 2021 USD ($) Integer $ / shares shares | Jun. 30, 2021 shares | Sep. 30, 2021 USD ($) Integer $ / shares shares | Sep. 30, 2021 USD ($) Integer $ / shares shares | Sep. 30, 2020 USD ($) | Dec. 31, 2020 USD ($) Integer $ / shares shares | Dec. 31, 2019 USD ($) $ / shares shares | Dec. 31, 2016 Integer | Sep. 30, 2021 USD ($) Integer $ / shares shares | Sep. 17, 2021 USD ($) | Aug. 31, 2021 $ / shares shares | Jul. 12, 2020 $ / shares | Jul. 10, 2020 $ / shares | Jun. 10, 2020 $ / shares
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares authorized (in shares) |  |  |  |  |  | 1,000,000 | 1,000,000 |  | 1,000,000 | 1,000,000 |  | 1,000,000 |  |  | 1,000,000 |  |  |  |  |
Shares issued, price per share (in dollars per share) | $ / shares |  |  |  |  | $ 10.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of preferred stock and preference stock | $ |  |  |  |  |  |  |  |  |  | $ 20,489,803 |  |  |  |  |  |  |  |  |  |
Maximum individual common stock ownership, percentage |  |  |  |  |  | 9.80% | 9.80% |  | 9.80% | 9.80% |  | 9.80% |  |  | 9.80% |  |  |  |  |
Payments of dividends, total | $ |  |  |  |  |  |  |  |  |  |  | $ 0 | $ 1,000,000.0 | $ 2,200,000 |  |  |  |  |  |  |
Common stock, dividends, per share, cash paid (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  |  |  | $ 0.10 | $ 0.12 |  |  |  |  |  |  |
Number of limited liability companies | Integer |  |  |  |  |  |  |  |  |  |  |  |  |  | 5 |  |  |  |  |  |
Number of limited partnerships in which company is sole general partner | Integer |  |  |  |  |  |  |  |  |  | 6 |  |  |  | 1 |  |  |  |  |  |
Registered shares of common stock pursuant to dividend reinvestment plan (in shares) |  |  |  |  | 3,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, percentage of purchase price per share |  |  |  |  | 95.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued, price per share (in dollars per share) | $ / shares |  |  |  |  | $ 19.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment of sales, commission or dealer manager fee | $ |  |  |  |  | $ 0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Notice period for amendments to dividend reinvestment plan (day) |  |  |  |  | 30 days |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock issued during period, value, dividend reinvestment plan | $ |  |  |  |  |  |  |  |  | $ 0 |  |  | $ 17,400,000 |  |  | $ 17,400,000 |  |  |  |  |
Stock issued during period, shares, dividend reinvestment plan (in shares) |  |  |  |  |  |  |  |  |  |  |  | 1,834,147 |  |  | 917,074 |  |  |  |  |
Dividends, common stock, cash | $ |  |  |  |  |  |  |  |  |  |  |  | $ 1,000,000.0 | $ 1,100,000 |  |  |  |  |  |  |
Number of limited liability companies | Integer |  |  |  |  |  | 2 | 2 |  | 2 | 2 |  |  |  | 4 | 2 |  |  |  |  |
Number of put options exercised (in shares) |  |  |  |  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |
Commercial Property [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of real estate properties | Integer |  |  |  |  |  | 12 | 12 |  | 12 | 12 |  |  |  |  | 12 |  |  |  |  |
Commercial Property [Member] | Partially Owned Properties [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of real estate properties | Integer |  |  |  |  |  | 2 | 2 |  | 2 | 2 |  | 2 |  |  | 2 |  |  |  |  |
Commercial Property [Member] | Wholly Owned Properties [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of real estate properties | Integer |  |  |  |  |  |  |  |  |  |  |  | 15 |  |  |  |  |  |  |  |
Dividend One [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payments of dividends, total | $ |  |  |  |  |  |  |  |  |  | $ 1,000,000.0 |  |  |  |  |  |  |  |  |  |
Common stock, dividends, per share, cash paid (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  | $ 0.101 |  |  |  |  |  |  |  |  |  |
Dividend Two [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payments of dividends, total | $ |  |  |  |  |  |  |  |  |  | $ 1,000,000.0 |  |  |  |  |  |  |  |  |  |
Common stock, dividends, per share, cash paid (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  | $ 0.102 |  |  |  |  |  |  |  |  |  |
Dividend Three [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payments of dividends, total | $ |  |  |  |  |  |  |  |  |  | $ 1,200,000 |  |  |  |  |  |  |  |  |  |
Common stock, dividends, per share, cash paid (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  | $ 0.103 |  |  |  |  |  |  |  |  |  |
Class A Common Stock and Accompanying Common Stock Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued, price per share (in dollars per share) | $ / shares | $ 5.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5.00 |
Class A Common Stock and Accompanying Pre-funded Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued, price per share (in dollars per share) | $ / shares | $ 4.99 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 4.99
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock issued during period, shares, new issues (in shares) |  |  |  |  |  |  |  |  |  |  |  | 59,274 |  |  |  |  |  |  |  |
Noncontrolling Interest [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Minority interest, decrease from issuance of stock for limited partnership interests | $ |  |  |  |  |  |  |  |  |  |  |  | $ 1,200,000 |  |  |  |  |  |  |  |
Common Stock Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of warrant or right, number of securities called by warrants or rights (in shares) | 2,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares | $ 5.50 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5.50 |  |
Warrants and rights outstanding, term (year) | 5 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Pre-funded Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of warrant or right, number of securities called by warrants or rights (in shares) | 1,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares | $ 0.01 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.01 |  |
Placement Agent Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of warrant or right, number of securities called by warrants or rights (in shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 80,000 |  |  |
Class of warrant or right, exercise price of warrants or rights (in dollars per share) | $ / shares |  |  |  |  |  | $ 0 | $ 0 |  | $ 0 | $ 0 |  |  |  |  | $ 0 |  | $ 6.25 |  |  |
Warrants and rights outstanding, term (year) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 5 years |  |  |
Class of warrant or right, securities called by warrants or rights, percentage of class of stock |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 4.00% |  |  |
Common Stock Warrants and Placement Agent Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of warrant or right, exercised during period (in shares) |  |  |  |  |  | 0 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Series D Preferred Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares authorized (in shares) |  |  |  |  |  | 1,000,000 | 1,000,000 |  | 1,000,000 | 1,000,000 |  | 1,000,000 |  |  | 1,000,000 |  |  |  |  |
Stock issued during period, shares, new issues (in shares) |  |  | 920,000 | 800,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued, price per share (in dollars per share) | $ / shares |  |  |  | $ 25.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of preferred stock and preference stock | $ |  |  | $ 20,500,000 | $ 18,100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, dividend rate, percentage |  |  |  | 9.375% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, liquidation preference per share (in dollars per share) | $ / shares |  |  |  |  |  | $ 25.00 | $ 25.00 |  | $ 25.00 | $ 25.00 |  | $ 25.00 |  |  | $ 25.00 |  |  |  |  |
Preferred stock, dividend rate, per-dollar-amount (in dollars per share) | $ / shares |  |  |  |  |  |  |  |  |  | $ 2.34375 |  |  |  |  |  |  |  |  |  |
Preferred stock, number of board of directors entitled to vote if dividends not paid for 18 monthly dividend periods | Integer |  |  |  |  |  | 2 | 2 |  | 2 | 2 |  |  |  |  | 2 |  |  |  |  |
Preferred stock, percentage of outstanding shares required to authorize senior ranking stock |  |  |  |  |  | 66.67% | 66.67% |  | 66.67% | 66.67% |  |  |  |  | 66.67% |  |  |  |  |
Preferred stock, redemption price per share (in dollars per share) | $ / shares |  |  |  |  |  | $ 25.00 | $ 25.00 |  | $ 25.00 | $ 25.00 |  |  |  |  | $ 25.00 |  |  |  |  |
Preferred stock, dividends per share, declared (in dollars per share) | $ / shares |  | $ 0.10417 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Dividends, preferred stock, cash | $ |  |  |  |  |  |  | $ 45,520,700,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares issued, total (in shares) |  |  |  |  |  | 920,000 | 920,000 |  | 920,000 | 920,000 |  | 0 |  |  | 920,000 |  |  |  |  |
Series D Preferred Stock [Member] | Over-Allotment Option [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock issued during period, shares, new issues (in shares) |  |  | 120,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of preferred stock and preference stock | $ |  |  | $ 2,700,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Option to purchase additional shares, period (day) |  |  | 45 days | 45 days |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Class A [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock issued during period, shares, new issues (in shares) | 1,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares authorized (in shares) |  |  |  |  |  | 100,000,000 | 100,000,000 |  | 100,000,000 | 100,000,000 |  | 100,000,000 |  |  | 100,000,000 |  |  |  |  |
Common stock, par or stated value per share (in dollars per share) | $ / shares |  |  |  |  |  | $ 0.01 | $ 0.01 |  | $ 0.01 | $ 0.01 |  | $ 0.01 |  |  | $ 0.01 |  |  |  |  |
Stock repurchase program, authorized amount | $ |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10,000,000 |  |  |  |
Stock repurchased during period, shares (in shares) |  |  |  |  |  | 18,133 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock repurchased, average cost per share (in dollars per share) | $ / shares |  |  |  |  |  | $ 3.73692 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock repurchased, commission per share (in dollars per share) | $ / shares |  |  |  |  |  | $ 0.035 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock repurchased during period, value | $ |  |  |  |  |  | $ 6,839,600,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Class B [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares authorized (in shares) |  |  |  |  |  | 1,000 | 1,000 |  | 1,000 | 1,000 |  | 1,000 |  |  | 1,000 |  |  |  |  |
Common stock, shares, issued, total (in shares) |  |  |  |  |  | 0 | 0 |  | 0 | 0 |  | 0 |  |  | 0 |  |  |  |  |
Common Class C [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares authorized (in shares) |  |  |  |  |  | 9,000,000 | 9,000,000 |  | 9,000,000 | 9,000,000 |  | 9,000,000 |  |  | 9,000,000 |  |  |  |  |
Common stock, shares, issued, total (in shares) |  |  |  |  |  |  |  |  |  |  |  | 0 |  |  |  |  |  |  |  |
Common stock, number of entitled votes | Integer |  |  |  |  |  | 1 | 1 |  | 1 | 1 |  | 1 |  |  | 1 |  |  |  |  |
Redeemable Convertible Preferred Stock Series B [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares issued, total (in shares) |  |  |  |  |  |  |  |  |  |  |  | 0 | 0 |  |  |  |  |  |  |

X
- Definition The number of warrants or rights exercised during period. + References No definition available. + Details
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- Definition Represents the securities called by warrants or rights, expressed as a percentage of the specified class of stock. + References No definition available. + Details
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- Definition The number of entitled votes for each share of common stock. + References No definition available. + Details
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Data Type: | xbrli:integerItemType
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- Definition The percentage of purchase price per share of common stock. + References No definition available. + Details
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- Definition The percentage of maximum amount of common stock by a single individual + References No definition available. + Details
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- Definition Decrease in noncontrolling interest balance from issuance of stock for limited partnership interests. + References No definition available. + Details
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- Definition The notice period for amendments to the dividend reinvestment plan. + References No definition available. + Details
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- Definition Number of limited liabilities companies. + References No definition available. + Details
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Period Type: | instant

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- Definition Represents the number of limited liability companies. + References No definition available. + Details
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Data Type: | xbrli:integerItemType
Balance Type: | na
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- Definition Represents the number of limited partnerships in which the Company is the sole general partner. + References No definition available. + Details
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Namespace Prefix: | SQFT_
Data Type: | xbrli:integerItemType
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- Definition Represents the number of put options exercised. + References No definition available. + Details
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Data Type: | xbrli:sharesItemType
Balance Type: | na
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- Definition Represents the period of the option to purchase additional shares. + References No definition available. + Details
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- Definition The amount of cash outflow for sales, commission or dealer management fees. + References No definition available. + Details
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Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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- Definition The number of board of directors that the preferred stock holders are entitled to vote for if dividends are not paid for 18 monthly dividend periods (whether consecutive or not). + References No definition available. + Details
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- Definition The percentage of outstanding shares of preferred stock holders required to authorize the issuance of senior ranking stock. + References No definition available. + Details
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- Definition The number of common stock shares registered pursuant to dividend reinvestment plan. + References No definition available. + Details
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- Definition Represents the commission per share of stock repurchased during the period. + References No definition available. + Details
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