202111313100 has 72 divisors (see below), whose sum is σ = 584838192960. Its totient is φ = 53890562880.

The previous prime is 202111313093. The next prime is 202111313101. The reversal of 202111313100 is 1313111202.

It is a happy number.

202111313100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202111313100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202111313100.

It is not an unprimeable number, because it can be changed into a prime (202111313101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3263019 + ... + 3324381.

It is an arithmetic number, because the mean of its divisors is an integer number (8122752680).

Almost surely, 2^202111313100 is an apocalyptic number.

202111313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111313100 is an abundant number, since it is smaller than the sum of its proper divisors (382726879860).

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

202111313100 is a wasteful number, since it uses less digits than its factorization.

202111313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72359 (or 72352 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 202111313100 its reverse (1313111202), we get a palindrome (203424424302).

The spelling of 202111313100 in words is "two hundred two billion, one hundred eleven million, three hundred thirteen thousand, one hundred".