Do you have a way to have him checked for allergies? Just an idea.
One other thought does he eat veggies , beans it could be the healthy home cooking which is wonderful makes him go more .I see you are from India is he getting used to the wonderful spices that you use ...
I agree maybe nothing wrong just likes pooping ..keep an eye on it, he is to young for potty training at least here we think so .,I have found that children that are 'trained too early 'sometime regress and 3 year old is when the light bulb comes on ..good luck
You say "he refuses to be toilet trained." It's too early to try to train a boy to use the loo, especially for stools. If you are making a big deal of it, try not to.
Talk to his pediatrician. Possibly nothing is wrong, and your child is just someone who is pooping a lot at this age.
He has a well balanced diet. And mostly home cooked food. 8-10 ounces of milk a day. Currently no meds.
Yes he is an active child and intelligent
What is his diet like, is he on any meds at all .Does he seem well in every other way .?