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Shareholders' Equity (Details) (Textual)
In Millions, except Share data, unless otherwise specified
12 Months Ended 12 Months Ended 12 Months Ended 12 Months Ended 12 Months Ended 12 Months Ended 12 Months Ended 12 Months Ended
Dec. 31, 2011
USD ($)
M
Y
Dec. 31, 2010
USD ($)
Y
Dec. 31, 2009
USD ($)
Y
Dec. 31, 2008
Dec. 31, 2002
Dec. 31, 2011
EUR (€)
Dec. 31, 2010
EUR (€)
Jan. 22, 2008
Dec. 31, 2001
USD ($)
Dec. 31, 2011
Retained Earnings [Member]
USD ($)
Dec. 31, 2010
Retained Earnings [Member]
USD ($)
Dec. 31, 2009
Retained Earnings [Member]
USD ($)
Dec. 31, 2011
Employee Plan 2008 [Member]
Dec. 31, 2009
Employee Plan 2008 [Member]
USD ($)
Dec. 31, 2010
Employee Plan 2008 [Member]
Dec. 31, 2011
Employee Plan 2009 [Member]
Dec. 31, 2009
Employee Plan 2009 [Member]
USD ($)
May 20, 2012
Employee Plan 2009 [Member]
May 20, 2011
Employee Plan 2009 [Member]
Dec. 31, 2010
Employee Plan 2009 [Member]
May 20, 2010
Employee Plan 2009 [Member]
Dec. 31, 2011
Employee Plan 2010 [Member]
Dec. 31, 2010
Employee Plan 2010 [Member]
USD ($)
Dec. 31, 2011
Employee Plan 2011 [Member]
USD ($)
Dec. 31, 2010
Employee Plan 2011 [Member]
Dec. 31, 2011
Supervisory Board 2008 Plan [Member]
Dec. 31, 2010
Supervisory Board 2008 Plan [Member]
Dec. 31, 2011
Supervisory Board 2009 Plan [Member]
EUR (€)
Dec. 31, 2009
Supervisory Board 2009 Plan [Member]
Dec. 31, 2010
Supervisory Board 2009 Plan [Member]
Dec. 31, 2011
Supervisory Board 2010 Plan [Member]
Dec. 31, 2010
Supervisory Board 2010 Plan [Member]
Dec. 31, 2001
Employee Stock Option Plan, 2001 [Member]
Dec. 31, 2002
Supervisory Board Option Plan [Member]
Dec. 31, 2001
Supervisory Board Option Plan [Member]
Dec. 31, 2000
Supervisory Board Option Plan [Member]
Dec. 31, 1999
Supervisory Board Option Plan [Member]
Dec. 31, 2002
Advisor to supervisory Board [Member]
Dec. 31, 2001
Advisor to supervisory Board [Member]
Dec. 31, 2000
Advisor to supervisory Board [Member]
Dec. 31, 1999
Advisor to supervisory Board [Member]
Dec. 31, 2011
Supervisory Board 2011 Plan [Member]
Dec. 31, 2010
Supervisory Board 2011 Plan [Member]
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award (Textual) [Abstract]                                                                                      
Common stock, nominal value           € 1.04 € 1.04                                                                        
Maximum Period authorized to be granted                                                                 60,000,000                    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period                                                                   12,000 9,000 9,000 18,000 6,000 4,500 4,500 9,000    
Maximum Period authorized to be granted 6,149,130                                             5,976,630                                   172,500  
Number of share waived 169,342                       3,531     31,144           73,852   30,815                                   30,000  
Awards are granted at the nominal value of the share                                                       € 1.04                              
Vesting period of option         30 days                                               one third after 12 months, one third after 24 months and one third after 36 months following the date of the grant               1 year            
Option expire after date of grant, in years         10 years                                                       10 years     8 years              
Awards vested, Number of Shares 3,346,791                       624,979     1,485,874           1,058,438       42,500   60,000     75,000                        
Number of outstanding awards 10,679,911 10,196,886                     0   628,510 1,257,038       2,774,056   3,224,558 6,506,820 5,945,815 0 0 42,500 35,000   95,000 75,000 150,000                   142,500 0
Sub plan for employees of Company's European subsidiaries for statutory payroll tax purposes nonvested shares vested over requisite service period                                   36.00% 32.00%   32.00%                                            
Awards cancelled on failed vesting conditions, Number of Shares 2,149,972                                         2,149,972                                          
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan                           $ 10.59     $ 7.54           $ 8.74 $ 9.08                                      
Dividends,$0.12, $0.28 and 0.40 per share for the years, 2009, 2010 and 2011 respectively $ (354) $ (247) $ (110)             $ 354 $ 247 $ 105                                                              
Shareholders Equity (Textual) [Abstract]                                                                                      
Total Authorized Share Capital             1,810                                                                        
Common stock, shares authorized 1,200,000,000 1,200,000,000                                                                                  
Preferred stock, shares authorized 540,000,000 540,000,000           540,000,000                                                                      
Common stock, shares issued 910,559,805 910,559,805                                                                                  
Common Stock, Shares, Outstanding 884,995,094 881,686,303                                                                                  
Preference Shares Outstanding Maximum Period       2 years                                                                              
Share issued as a percentage of par value of the preference shares to be issued               25.00%                                                                      
Repurchase of common shares Authorized to repurchase       30,000,000                                                                              
Acquisition of shares       29,520,220                                                                              
Transfer of treasury share to employees under the Company's share based remuneration programs 17,355,509                                                                                    
Transfer of treasury share to employees under the Company's share based remuneration 3,169,291                                                                                    
Company owned a number of treasury shares 25,564,711                                                                                    
Weighted Average Remaining contractual life of options 1.2 1.9 2.9                                                                                
Gain (loss) reclassified from OCI into earnings 61                                                                                    
Dividends, per share $ 0.40 $ 0.28 $ 0.12                                                                                
Compensation cost, excluding payroll tax and social contribution, capitalized as part of inventory 2 2 2                                                                                
Total unrecognized compensation cost related to the grant of nonvested shares                 23                                                                    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Period for Recognition 9.5                                                                                    
Deferred income tax expense relating to unvested share based compensation expense 7 3 8                                                                                
Dividend paid during the year 327 212 158                                                                                
Dividends payable to stockholders 88 62                                                                                  
Cash dividend paid per common share $ 0.10 $ 0.07                                                                                  
Dividend Paid $ 266 $ 186                                                                                  
Additional Shares granted for free to Employees   One third of the total number of awards granted