Literally none. Space is the worst possible place to put something that overheats already on earth. There's probably some synergy in the other direction (AI piloting of satellites or whatever) but that's marginal at best.
I wouldn't be too quick to dismiss Musk.
* no cost for land: land in sunny places where crops don't grow (for instance) is good for solar power and very cheap compared to building out a datacenter
* no charge for maintenance: sorry, I really don't get this one. Why don't the computers in space need any maintenance?
Because it would be too expensive to maintain them. Replacing them would be cheaper (I presume).