Stock Compensation - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions		12 Months Ended
	Jan. 02, 2018	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Number of shares remaining available for future issuance		53,595,374
Future compensation cost not yet recognized in the Statements of Income		$ 237
Future compensation costs to be recognized in 2018		123
Future compensation costs to be recognized in 2019		73
Future compensation costs to be recognized in 2020		37
Future compensation costs to be recognized in 2021		4
Remaining stock repurchase authorizations		$ 9,240
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)		three-month
Number of shares remaining available for future issuance		35,402,636
Aggregate intrinsic values of options exercised		$ 13	$ 12	$ 12
Weighted-average exercise price, Exercised (in dollars per share)		$ 67.62
Outstanding options exercisable (in shares)		0
Weighted average grant date fair value of options granted (dollars per share)		$ 12.99	$ 9.79	$ 7.89
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)	$ 89.74
Employee Stock Option
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Look back period to determine option life used in Black Scholes Merton pricing model		10 years
Long-term incentive and director compensation plans | Employee Stock Option
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Term of the long term incentive stock options		10 years
Award vesting period (in years)		4 years
Aggregate intrinsic values of options exercised		$ 632	$ 424	$ 290
Future compensation cost not yet recognized in the Statements of Income		$ 108
Weighted-average exercise price, Exercised (in dollars per share)		$ 37.13
Outstanding options exercisable (in shares)		22,114,114
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)		$ 79.52	$ 53.98	$ 53.22
Total fair values of shares vested from RSU lapses		$ 149	$ 178	$ 114
Future compensation cost not yet recognized in the Statements of Income		$ 129