202100000112 has 60 divisors (see below), whose sum is σ = 566038614960. Its totient is φ = 67314342144.

The previous prime is 202100000099. The next prime is 202100000119. The reversal of 202100000112 is 211000001202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202100000094 and 202100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100000119) 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 11 ways as a sum of consecutive naturals, for example, 358788 + ... + 730019.

It is an arithmetic number, because the mean of its divisors is an integer number (9433976916).

Almost surely, 2^202100000112 is an apocalyptic number.

It is an amenable number.

202100000112 is an abundant number, since it is smaller than the sum of its proper divisors (363938614848).

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

202100000112 is a wasteful number, since it uses less digits than its factorization.

202100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090110 (or 1090101 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202100000112 its reverse (211000001202), we get a palindrome (413100001314).

The spelling of 202100000112 in words is "two hundred two billion, one hundred million, one hundred twelve", and thus it is an aban number.