110111100111100 has 72 divisors (see below), whose sum is σ = 261121112960400. Its totient is φ = 39970030041600.

The previous prime is 110111100111083. The next prime is 110111100111113. The reversal of 110111100111100 is 1111001111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87336315 + ... + 88588114.

It is an arithmetic number, because the mean of its divisors is an integer number (3626682124450).

Almost surely, 2^{110111100111100} is an apocalyptic number.

110111100111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111100111100 is an abundant number, since it is smaller than the sum of its proper divisors (151010012849300).

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

110111100111100 is a wasteful number, since it uses less digits than its factorization.

110111100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175925023 (or 175925016 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110111100111100 its reverse (1111001111011), we get a palindrome (111222101222111).

It can be divided in two parts, 1 and 10111100111100, that added together give a palindrome (10111100111101).

The spelling of 110111100111100 in words is "one hundred ten trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred".