If the bike charger is labelled as 120watts (makes the maths easier) it will draw 10amps/hr from your battery.
Add in a little for conversion losses so maybe 11amps/hour.
A 5 hour charge will flatten (50% discharge) a 110ah battery.
Obviously using an inverter you are not on hook up and somehow you need to get that 55 amps back into the battery quickly.
Solar panels are unlikely to do that unless they are many or very large.
I have a 300w non-pure sine wave inverter, which charges our two e-bikes (AS Bikes) without any problems so far but beware, it blew up my electric toothbrush; really!
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