Pros
Good place to work to add to your resume - good company reputation. Good opportunity to learn - TI = 'training institute' is the long-running joke. Nice college campus-like setting. Good sports/gym facilities. If you work in a lab or office you're likely to be allowed flexibility to change your schedule as needed to allow for family issues, school, children, etc (if in a fab, forget it).
Kontras
The company culture doesn't exist - consider it a 'particular building you work in culture'. The feel and attitude of TI depends very much on which building you're in and who your boss is. There is very little to no direction from the top about how the day to day business is run so you may have a tyrant in one lab or fab or office and the most wonderful mgr on the next floor or fab. The way people are treated isn't directed from upper mgmt so you never know how you're experience will be until you're there.