202111000100 has 18 divisors (see below), whose sum is σ = 438580870434. Its totient is φ = 80844400000.

The previous prime is 202111000079. The next prime is 202111000123. The reversal of 202111000100 is 1000111202.

202111000100 is digitally balanced in base 3, 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 3 ways, for example, as 57021619264 + 145089380836 = 238792^2 + 380906^2 .

It is a super-2 number, since 2×202111000100² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1010554901 + ... + 1010555100.

It is an arithmetic number, because the mean of its divisors is an integer number (24365603913).

Almost surely, 2^202111000100 is an apocalyptic number.

202111000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111000100 is an abundant number, since it is smaller than the sum of its proper divisors (236469870334).

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

202111000100 is a wasteful number, since it uses less digits than its factorization.

202111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021110015 (or 2021110008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 202111000100 its reverse (1000111202), we get a palindrome (203111111302).

The spelling of 202111000100 in words is "two hundred two billion, one hundred eleven million, one hundred", and thus it is an aban number.