202120012100 has 36 divisors (see below), whose sum is σ = 438637516548. Its totient is φ = 80841168000.

The previous prime is 202120012093. The next prime is 202120012117. The reversal of 202120012100 is 1210021202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13256759044 + 188863253056 = 115138^2 + 434584^2 .

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 11 ways as a sum of consecutive naturals, for example, 1199030 + ... + 1357170.

Almost surely, 2^202120012100 is an apocalyptic number.

202120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120012100 is an abundant number, since it is smaller than the sum of its proper divisors (236517504448).

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

202120012100 is a wasteful number, since it uses less digits than its factorization.

202120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170936 (or 170929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202120012100 its reverse (1210021202), we get a palindrome (203330033302).

The spelling of 202120012100 in words is "two hundred two billion, one hundred twenty million, twelve thousand, one hundred".