Inverter

I'm no expert but, watts equals to volts x amps....so 2000watts ÷ 12v = 166.6 amps
...so your battery would need to be able to provide approx that amount of amps before the Battery management system shuts down...the cable and fuses would need to be able to carry that many amps minimum also or they'll melt and could go on fire.....my inverter is a pure sign wave 2000w and it powers my coffee machine no probs which is 1300w and a mini oven that's 1500w..the battery is 150ah lithium...the oven would zap the battery fairly lively though as it pulls savage power constantly so i rarely use that when off grid.I have an air fryer that's 1200w I think and this isn't as hard on the battery as when it hits the temperature it doesn't draw much power,as the temp drops it then kicks back in again drawing power again....I'd imagine you'd need a bigger battery than 100ah though or else use smaller wattage appliances up to 1000watts or thereabouts.

Build your own, it's much cheaper.
I got four cells, Not exactly these plus a decent BMS.
Electric kettle, air fryer, microwave, hairdryer, etc no problem off my 1500watt pure sine inverter.

See my posts from #96 onwards Here

A 2kW device will need more than a 2000W inverter as many devices only list their continious power rating and ofter have a surge power of up to double their rated power.

Inverters are sometimes only 80% efficient, so you need to allow for that with your system also.E.g. your battery needs to be abel to run 2400W to power a 2000W inverter.

None of this will be doable with a 100ah battery, even if it's lithium.

With lead acid you'd be talking seconds of run time, if even.