For me, being at MIT has been much more valuable than my time at RPI (my alma mater). And that's because lots of cool, innovative, and intelligent people flock to MIT. When hosting an event, MIT is able to get the best speakers in the world to show up, because the speakers are excited to be at MIT. I've had conversations with people who would never have come all the way out to RPI because RPI just isn't as interesting.
And so it reinforces itself. Intelligent people flock there because intelligent people flock there. But it also means that the time spent there is more valuable.