Your 36V10,2AH battery probably has 40 cells, arranged in a 10x4 array. In battery talk, that's 10S-4P for 10 series groups and 4 parallel cells per group.
With a 2A charger, each cell gets 0.5A in charge current. You would have to look at the spec sheet for the max charge current, but I "think" most commercial cells would be fine at 1.0A. My biggest charger though is 3A, and that's actually 2.7A actual current. I chose it over a 4A or 5A charger because my experience is that the 5.5mm connector will overheat at 4A,
Some of my batteries use RCA XLR microphone plugs for charger connectors, These won't melt.