Hi new guy. Welcome. The manual should tell you. If you don't have the manual you should be able to find it on the Ampeg website. Otherwise, from a cold start, if it makes sound immediately after turning it on, it is solid state. If it takes a bit of time to warm up before producing sound it has tubes. Some amps have tubes in the preamp section but solid state output. Again the manual should discuss this.
Also, consider how much you paid for it. A 150-watt tube combo amp would have been much higher than the under $400 price you spent. Still a good-sounding amp snd without the hassles inherit to tubes. Enjoy!
LOL! The only hassles inherent to tubes is that you may have to change a couple now and then. And in an amp with only preamp tubes, it'll be more then than now. That said, I have a BA112 v2 and it's a workhorse, even without tubes.
There ya go, I was going to suggest that since it isn't wearing a Devo flowerpot hat it probably hasn't any tubes.
I meant for someone new to bass (based on the OP's profile), I think a solid state amp, like the BA-112 v2, is a smart option for the money, much like your 112 v2. You're right though, tube amps really aren't any more problematic than solid state.