111101100110100 has 54 divisors (see below), whose sum is σ = 348240226014590. Its totient is φ = 29626960029120.

The previous prime is 111101100110027. The next prime is 111101100110101. The reversal of 111101100110100 is 1011001101111.

It can be written as a sum of positive squares in 3 ways, for example, as 8193146256 + 111092906963844 = 90516^2 + 10540062^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101100110101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 61722832495 + ... + 61722834294.

Almost surely, 2^{111101100110100} is an apocalyptic number.

111101100110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111101100110100 is an abundant number, since it is smaller than the sum of its proper divisors (237139125904490).

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

111101100110100 is a wasteful number, since it uses less digits than its factorization.

111101100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123445666809 (or 123445666799 counting only the distinct ones).

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

Adding to 111101100110100 its reverse (1011001101111), we get a palindrome (112112101211211).

The spelling of 111101100110100 in words is "one hundred eleven trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred".