202100222120 has 64 divisors (see below), whose sum is σ = 481530283920. Its totient is φ = 76075905024.

The previous prime is 202100222113. The next prime is 202100222123. The reversal of 202100222120 is 21222001202.

It can be written as a sum of positive squares in 8 ways, for example, as 104480218756 + 97620003364 = 323234^2 + 312442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202100222095 and 202100222104.

It is not an unprimeable number, because it can be changed into a prime (202100222123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10443974 + ... + 10463306.

Almost surely, 2^202100222120 is an apocalyptic number.

202100222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100222120 is an abundant number, since it is smaller than the sum of its proper divisors (279430061800).

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

202100222120 is a wasteful number, since it uses less digits than its factorization.

202100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34734 (or 34730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202100222120 its reverse (21222001202), we get a palindrome (223322223322).

The spelling of 202100222120 in words is "two hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".