Hmmm. Wouldn't take much to be honest. That type of thing is already in place - checkout what Microsoft did with submerging a container though not exactly original as Sun Microsystems were doing Datacentres in a box a decade before. Even now that concept is being sold as a viable data storage transfer option by Amazon (AWS Snowmobile).
So the real question is for off-world use is
a) how do you transport the equipment and data without it being irradiated during travel. Radiation kills components especially integrated circuits. Lets not forget landing on Mars isn't particularly successful.
b) how do you power a massive datacentre off-world continuously and develop disaster recovery procedures (every Mars sci-fi movie is a disaster movie so thats a must)
c) exactly how many cat videos...
