As others have said, Nikomat is the same as Nikkormat.
There are ~3 generations of mechanical Nikkormat: FT and FTn, FT2, FT3. (Plus the early FS without meter, and the later EL and EL2 with electronically controlled shutter.) You can use these with virtually any Nikon compatible lens that has an aperture ring. Lens adapters should also fit. For the pictured FTn camera, you need the prong or rabbit-ears on the aperture ring to couple to the meter. Sometimes you can add a prong on if you are handy/clever. (For the later FT3 and EL2, the meter uses the AI ridge at the rear of the lens rather than the prong.)
The meter in the FTn is supposed to use a 1.35v mercury battery, you can use a voltage dropping adapter, a zinc-air cell, or just try an alkaline battery and see if you can get results consistent with your external meter by compensating the ISO. The meters in these cameras are sometimes off or unreliable given their age. (The shutters, however, seem darn near bulletproof.)
The major successive improvements in the Nikkormats are, I think:
FT - full frame average metering
FTn - center-weighted metering, improved method of indexing lens aperture when mounting.
FT2 - fixed flash hot shoe,
uses modern S76 1.5v battery, split-image focusing screen. Plastic tip on wind lever.
EL - electronically controlled shutter
FT3 - like FT2, but uses AI indexing rather than prong.
EL2 - like EL, but uses AI indexing rather than prong.
The FT2 use of a modern battery is extremely nice. If you already have more AI lenses, the FT3 is good, but they are less common and probably a bit more expensive. If you want to go out and get some vintage prime lenses, the non-AI lenses are often cheaper than the AI ones on the used market.
(Since you asked) For the autofocus film cameras like the F-801, F-601, F90, etc, they work fine with many manual and autofocus lenses, but not with DX lenses that only cover the smaller digital sensor. The AF film cameras don't have a focus aid like a split image, so you have to get used to focusing on the matte screen or using the electronic focus aid. Most AF cams won't mount a "non-AI" lens - that leads you into the bewildering array of Nikon compatibility issues, best covered on Ken Rockwell's page:
https://www.kenrockwell.com/nikon/compatibility-lens.htm Personally I think the F-801 and F90 are great cameras even if you don't use AF, and generally still very underpriced today compared to their use value. I like the F-601 less, partly due to the annoying battery it uses.
Anyway, don't worry too much about the deep dive into the bowels of Nikon equipment. Put on a couple of decent prime lenses and go out and make pictures.