Stock-based Compensation - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions		12 Months Ended
	Jan. 04, 2016	Dec. 31, 2015	Dec. 31, 2014	Dec. 31, 2013
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Future compensation cost not yet recognized in the Statements of Income		$ 273
Future compensation costs to be recognized in 2016		140
Future compensation costs to be recognized in 2017		86
Future compensation costs to be recognized in 2018		42
Future compensation costs to be recognized in 2019		5
Remaining stock repurchase authorizations		$ 7,930
Employee stock purchase plan
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Percent of the underlying common stock's market price participants pay for options (in hundredths)		85.00%
Employee stock purchase plan option term (in months)		3 months
Aggregate intrinsic value of options exercised		$ 12	$ 12	$ 13
Weighted-average exercise price, Exercised (in dollars per share)		$ 44.57
Outstanding options exercisable (in shares)		0
Weighted average grant date fair value of options granted (dollars per share)		$ 7.89	$ 7.34	$ 5.71
Employee stock purchase plan | Subsequent Event
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Weighted-average exercise price, Exercised (in dollars per share)	$ 46.19
Employee Stock Option
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Award vesting period (in years)		4 years
Look back period to determine option life used in Black Scholes Merton pricing model		10 years
Employee Stock Option | Annual Vesting
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Non-qualified stock options award vesting rights		25.00%
Restricted Stock Units (RSUs)
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Award vesting period (in years)		4 years
Long-term incentive and director compensation plans | Employee Stock Option
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Long-term incentive and director compensation plans option pricing (in percent)		100.00%
Term of the long term incentive stock options		10 years
Award vesting period (in years)		4 years
Aggregate intrinsic value of options exercised		$ 290	$ 367	$ 427
Future compensation cost not yet recognized in the Statements of Income		$ 112
Weighted-average exercise price, Exercised (in dollars per share)		$ 31.33
Outstanding options exercisable (in shares)		26,840,082
Long-term incentive and director compensation plans | Restricted Stock Units (RSUs)
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Award vesting period (in years)		4 years
Long-term incentive plan RSU conversion to common stock feature		Each RSU represents the right to receive one share of TI common stock on the vesting date
Weighted-average grant-date fair value, Granted (in dollars per share)		$ 53.22	$ 44.71	$ 33.70
Total fair value of shares vested from RSU lapses		$ 114	$ 133	$ 98
Future compensation cost not yet recognized in the Statements of Income		$ 161