111331201220100 has 54 divisors (see below), whose sum is σ = 348961465160490. Its totient is φ = 29688320325120.

The previous prime is 111331201220059. The next prime is 111331201220143. The reversal of 111331201220100 is 1022102133111.

111331201220100 is a `hidden beast` number, since 1 + 11 + 331 + 2 + 0 + 1 + 220 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25379166875076 + 85952034345024 = 5037774^2 + 9271032^2 .

It is a super-2 number, since 2×111331201220100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61850666445 + ... + 61850668244.

Almost surely, 2^{111331201220100} is an apocalyptic number.

111331201220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111331201220100 is an abundant number, since it is smaller than the sum of its proper divisors (237630263940390).

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

111331201220100 is a wasteful number, since it uses less digits than its factorization.

111331201220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123701334709 (or 123701334699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111331201220100 its reverse (1022102133111), we get a palindrome (112353303353211).

The spelling of 111331201220100 in words is "one hundred eleven trillion, three hundred thirty-one billion, two hundred one million, two hundred twenty thousand, one hundred".