202100020100 has 54 divisors (see below), whose sum is σ = 482050333002. Its totient is φ = 73490912000.

The previous prime is 202100020099. The next prime is 202100020117. The reversal of 202100020100 is 1020001202.

It can be written as a sum of positive squares in 3 ways, for example, as 34583353156 + 167516666944 = 185966^2 + 409288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8339141 + ... + 8363340.

Almost surely, 2^202100020100 is an apocalyptic number.

202100020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100020100 is an abundant number, since it is smaller than the sum of its proper divisors (279950312902).

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

202100020100 is a wasteful number, since it uses less digits than its factorization.

202100020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16702517 (or 16702499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 202100020100 its reverse (1020001202), we get a palindrome (203120021302).

The spelling of 202100020100 in words is "two hundred two billion, one hundred million, twenty thousand, one hundred".