202112112100 has 36 divisors (see below), whose sum is σ = 438622152948. Its totient is φ = 80837680000.

The previous prime is 202112112091. The next prime is 202112112179. The reversal of 202112112100 is 1211211202.

202112112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1701892516 + 200410219584 = 41254^2 + 447672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126590 + ... + 1293610.

It is an arithmetic number, because the mean of its divisors is an integer number (12183948693).

Almost surely, 2^202112112100 is an apocalyptic number.

202112112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112112100 is an abundant number, since it is smaller than the sum of its proper divisors (236510040848).

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

202112112100 is a wasteful number, since it uses less digits than its factorization.

202112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179136 (or 179129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202112112100 its reverse (1211211202), we get a palindrome (203323323302).

The spelling of 202112112100 in words is "two hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred".