Correct breaker for battery input?

Currently the breaker installed by the installers was a 125amp 1 pole breaker (on the positive), I read my inverter could use around 210amps from the batteries and my 2 batteries can output a max of 100amp each, is it fine to use the 125amp breaker or is that way too small? I was searching for a 165amp 1 pole breaker but seems they dont exist? lol. My batteries are 48v and they are connected to a busbar and that to the inverter (breaker in between of course). They used 4awg wire for that but I changed it to 2awg (any more wouldn't fit the 1 pole breaker, bought some 2/0 for nothing lol). Any clues/opinions? I can give more info if needed but dont know what else is needed.

I'm a beginner, so seek other opinions, but in general:

1) You will get better answers if you say the specific inverter and batteries you are using

2) A 125 amp circuit breaker should be adequate for normal use providing you program the inverter to draw no more than around 100 amps

3) Sometimes things go wrong, and there can be a current surge that will overwhelm a small breaker, so you also want a class T fuse before the breaker

4) Also make sure the breaker is for DC current. AC current is easier to break than DC.