The premise of “Benderama” is based around the transhumanist theory of grey goo, an end-of-the-world scenario in which out-of-control self-replicating robots consume all matter on Earth while building more of themselves.
The episode is not officially available for viewing online (but you can still find it, of course).
Futurama does an episode on nano-technology.
Futurama, Season 6, Episode 15: Benderama
Naturally, this episode’s goal is entertainment, not so much the accurate portrayal of the technology.
Quoting from wikipedia article:
The episode is not officially available for viewing online (but you can still find it, of course).