111012012100100 has 72 divisors (see below), whose sum is σ = 241301114255880. Its totient is φ = 44330148910080.

The previous prime is 111012012100051. The next prime is 111012012100133. The reversal of 111012012100100 is 1001210210111.

It can be written as a sum of positive squares in 12 ways, for example, as 86698296460864 + 24313715639236 = 9311192^2 + 4930894^2 .

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 23 ways as a sum of consecutive naturals, for example, 1826035304 + ... + 1826096096.

It is an arithmetic number, because the mean of its divisors is an integer number (3351404364665).

Almost surely, 2^{111012012100100} is an apocalyptic number.

111012012100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111012012100100 is an abundant number, since it is smaller than the sum of its proper divisors (130289102155780).

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

111012012100100 is a wasteful number, since it uses less digits than its factorization.

111012012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91209 (or 91202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111012012100100 its reverse (1001210210111), we get a palindrome (112013222310211).

The spelling of 111012012100100 in words is "one hundred eleven trillion, twelve billion, twelve million, one hundred thousand, one hundred".