You get direct connections to the servers without going through multiple local jumps and you aren't slowed down by the slower speeds of light in fiber.
Error correction, mass limits, and power generation are the difficult parts.
* Ping time would be roughly 1 hour
* Would require high-power wireless communication link
* Would take over 1 year to ship new hardware to datacenter
* No magnetosphere means increased hardware failure due to radiation.
Or are fission byproducts just that low energy when it comes to flipping bits?
"Small modular reactors: flexible and affordable power generation
... Global interest in small and medium sized or modular reactors has been increasing due to their ability to meet the need for flexible power generation for a wider range of users and applications and replace ageing fossil fuel-fired power plants. They also display an enhanced safety performance through inherent and passive safety features, offer better upfront capital cost affordability and are suitable for cogeneration and non-electric applications. In addition, they offer options for remote regions with less developed infrastructures and the possibility for synergetic hybrid energy systems that combine nuclear and alternate energy sources, including renewables. ..."