111111100100100 has 54 divisors (see below), whose sum is σ = 348271570427690. Its totient is φ = 29629626693120.

The previous prime is 111111100100023. The next prime is 111111100100129. The reversal of 111111100100100 is 1001001111111.

It can be written as a sum of positive squares in 3 ways, for example, as 14899955122116 + 96211144977984 = 3860046^2 + 9808728^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 61728388045 + ... + 61728389844.

Almost surely, 2^{111111100100100} is an apocalyptic number.

111111100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111100100100 is an abundant number, since it is smaller than the sum of its proper divisors (237160470327590).

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

111111100100100 is a wasteful number, since it uses less digits than its factorization.

111111100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123456777909 (or 123456777899 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111111100100100 its reverse (1001001111111), we get a palindrome (112112101211211).

The spelling of 111111100100100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred".