While a 100-sided polygon has no official name, the most commonly used terms are "hectogon" and "centagon".
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There is no name for it. A magagon has a million sides though. There's one for you.
A polygon with 1000 sides is still a polygon but even a polygon of 100 sides gives characteristics of a circle. When demonstrating circles a polygon of 100 sides helps show the circle characteristics.
There is no formula for how many sides there are in a polygon; the name of the polygon shows how many sides it has.
There is not a name for such a polygon. A polygon with one million sides is called a megagon though..
the name of the polygon with 101 sides is hecatontakaihenagon