Back to the OP for a second - in terms of equipment considerations, it really depends upon your environment. But the only equipment I double up on is:
- gas supply (pony or doubles)
- two computers
YMMV, but that works for me in the warm clear waters of the Caribbean.
In terms of skills and mental aptitude, it goes without saying you have to be a competent and (one would hope) reasonably experienced diver. The other two things you need to be aware of are (a) gas planning, and (b) a very cautious approach to risk. When I am in a team I will do a lot of stuff that, ahem, is not strictly approved of by my peers as safe diving practice. If I am alone, there is no one to bail me out so I take a much more conservative approach. The best dive of your life 'aint worth dying for. This applies to sites and conditions too.
Last thing: do not assume that things which might go wrong will be within your control. My biggest worries about solo diving is that I may suddenly have a non-diving related health issue at depth, or that some bastard will steal my boat. Both situations become considerably more critical when you are alone.
Do people steal dive boats that often. I mean someone has to know where you are going follow you and then steal it once you go under. If you're in america atleast