202100705120120 has 32 divisors (see below), whose sum is σ = 469395186088320. Its totient is φ = 78232531013760.

The previous prime is 202100705120087. The next prime is 202100705120189. The reversal of 202100705120120 is 21021507001202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81492218567 + ... + 81492221046.

It is an arithmetic number, because the mean of its divisors is an integer number (14668599565260).

Almost surely, 2^{202100705120120} is an apocalyptic number.

202100705120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100705120120 is an abundant number, since it is smaller than the sum of its proper divisors (267294480968200).

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

202100705120120 is a wasteful number, since it uses less digits than its factorization.

202100705120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162984439655 (or 162984439651 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The spelling of 202100705120120 in words is "two hundred two trillion, one hundred billion, seven hundred five million, one hundred twenty thousand, one hundred twenty".