Excellent vehicles. I'm going to make the assumption that you are interested primarily in longevity and reliability.
I'd look back for an 07-09 non-supercharged version. Those seem to be the best years. That said I'm sure a 2010 is pretty good on reliability as well. Main thing is maintenance. These machines LOVE oil changes, suspension components, and brake pads/rotors. I guess you specify 2010 because you know of one.
If you can do the work yourself, you can save A TON of money. Lots of documentation. Parts catalogs are available and I'm buying stuff for my LR3 overseas. So much cheaper. That with the GAP tool, you have the ability to pretty much do anything yourself on the vehicle.
Keep oil changes around the 5k mark for dyno oil. 7k for synthetic. 30k, you are looking at brakes, diff fluid change, and transfer case. At 60k, transmission. The transmissions are supposed to be "sealed for life" but we've all learned that is a lie. Fortunately, Ford used the ZF6, so they have a ford fluid which is acceptable, but for a reasonable price.
The air suspension is surprisingly reliable and durable. Of course there is that one guy who has blown out air bags, but the struts are reliable. Of course at 120k or so, struts are struts and are probably worn out. Same with lower control arm. They've gotten better but still sucks.
I'm spending about $1500/yr on my LR3. Quadruple that if I wasn't doing most of the work myself. That said I have a high standard for my vehicles, I don't like crappy crap crapping up my driving experience.
So Rangie vs. 100 series...a classic debate. Obviously the 100 series has the "reputation" and well deserved. I've driven a 100 series and used it off road across the southeast. A well squared away 100 series is a joy to drive. I think the Range Rover rides better, has better performance, and is more capable off road (stock vs. stock, you slap a front locker and 33s on a 100 series, of course its going to be better). Also it is easier to modify the 100 series. At 70 mph, the RR does get better fuel economy. Of course, good luck driving at only 70 mph. The air suspension rides better and the whole vehicle feels better.
The 100 series is good for at least 300k, assuming it isn't destroyed, somewhat maintained, and not rusted out. Really, same with the range rover but will go through more parts. The RR will tow better, if that is a requirement and the back seat area is nicer.
However you want to split it. Cruising in a Rangie is a fantastic feeling.