202200020202100 has 72 divisors (see below), whose sum is σ = 442812410579000. Its totient is φ = 80135651980800.

The previous prime is 202200020202053. The next prime is 202200020202127. The reversal of 202200020202100 is 1202020002202.

It can be written as a sum of positive squares in 12 ways, for example, as 115541086992016 + 86658933210084 = 10749004^2 + 9309078^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400660726 + ... + 401165074.

Almost surely, 2^{202200020202100} is an apocalyptic number.

202200020202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200020202100 is an abundant number, since it is smaller than the sum of its proper divisors (240612390376900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202200020202100 is a wasteful number, since it uses less digits than its factorization.

202200020202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541253 (or 541246 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202200020202100 its reverse (1202020002202), we get a palindrome (203402040204302).

The spelling of 202200020202100 in words is "two hundred two trillion, two hundred billion, twenty million, two hundred two thousand, one hundred".