111111110100100 has 36 divisors (see below), whose sum is σ = 263030300639568. Its totient is φ = 40404040036000.

The previous prime is 111111110100061. The next prime is 111111110100217. The reversal of 111111110100100 is 1001011111111.

It is a happy number.

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

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 11 ways as a sum of consecutive naturals, for example, 50505048946 + ... + 50505051145.

It is an arithmetic number, because the mean of its divisors is an integer number (7306397239988).

Almost surely, 2^{111111110100100} is an apocalyptic number.

111111110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111110100100 is an abundant number, since it is smaller than the sum of its proper divisors (151919190539468).

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

111111110100100 is a wasteful number, since it uses less digits than its factorization.

111111110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101010100116 (or 101010100109 counting only the distinct ones).

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

Adding to 111111110100100 its reverse (1001011111111), we get a palindrome (112112121211211).

It can be divided in two parts, 1111111 and 10100100, that added together give a palindrome (11211211).

The spelling of 111111110100100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred".