111100101001110 has 48 divisors (see below), whose sum is σ = 311080282806384. Its totient is φ = 27347717169216.

The previous prime is 111100101001091. The next prime is 111100101001151. The reversal of 111100101001110 is 11100101001111.

111100101001110 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 111100101001092 and 111100101001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47478674472 + ... + 47478676811.

It is an arithmetic number, because the mean of its divisors is an integer number (6480839225133).

Almost surely, 2^{111100101001110} is an apocalyptic number.

111100101001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111100101001110 is an abundant number, since it is smaller than the sum of its proper divisors (199980181805274).

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

111100101001110 is a wasteful number, since it uses less digits than its factorization.

111100101001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94957351309 (or 94957351306 counting only the distinct ones).

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

Adding to 111100101001110 its reverse (11100101001111), we get a palindrome (122200202002221).

Subtracting from 111100101001110 its reverse (11100101001111), we obtain a palindrome (99999999999999).

The spelling of 111100101001110 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one thousand, one hundred ten".