I'm pretty sure my hot water heater just quit. Replacement suggestions?

[deckeda]

M A V I C wrote:
... If the tank is leaking elsewhere, then there should be water in the bottom of the tank ...

I'm not so sure. Remember, when we look at a water heater what we see isn't the water's tank, it's a metal wrapper around the tank proper --- there's insulation, maybe some wiring or other parts sandwiched between. Once the tank leaks, the water could form around other stuff if partially trapped, prior to hitting the floor.

M A V I C wrote: ... around the pilot light, right? ...

Sure.