100012202202120 has 128 divisors (see below), whose sum is σ = 324468298022400. Its totient is φ = 24515382334464.

The previous prime is 100012202202097. The next prime is 100012202202137. The reversal of 100012202202120 is 21202202210001.

100012202202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 100012202202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133749307 + ... + 134494986.

It is an arithmetic number, because the mean of its divisors is an integer number (2534908578300).

Almost surely, 2^{100012202202120} is an apocalyptic number.

100012202202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012202202120 is an abundant number, since it is smaller than the sum of its proper divisors (224456095820280).

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

100012202202120 is a wasteful number, since it uses less digits than its factorization.

100012202202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268244559 (or 268244555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100012202202120 its reverse (21202202210001), we get a palindrome (121214404412121).

The spelling of 100012202202120 in words is "one hundred trillion, twelve billion, two hundred two million, two hundred two thousand, one hundred twenty".