100202100012 has 144 divisors (see below), whose sum is σ = 312474839040. Its totient is φ = 26440089984.

The previous prime is 100202100007. The next prime is 100202100023. The reversal of 100202100012 is 210001202001.

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 = 100202099967 and 100202100003.

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 47 ways as a sum of consecutive naturals, for example, 129988 + ... + 466155.

It is an arithmetic number, because the mean of its divisors is an integer number (2169964160).

Almost surely, 2^100202100012 is an apocalyptic number.

100202100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202100012 is an abundant number, since it is smaller than the sum of its proper divisors (212272739028).

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

100202100012 is a wasteful number, since it uses less digits than its factorization.

100202100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596212 (or 596207 counting only the distinct ones).

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

Adding to 100202100012 its reverse (210001202001), we get a palindrome (310203302013).

The spelling of 100202100012 in words is "one hundred billion, two hundred two million, one hundred thousand, twelve".