This is precisely what "system on a chip" is all about.

http://www.forbes.com/sites/parmyolson/2015/05/12/samsung-artik-system-on-a-chip-internet-of-things/
"A system on a chip (or SoC) integrates all the key components of a mobile computer onto a single chip, including memory, sensors, accelerometer and gyroscope, and crucially, radio frequency functions."