111000111101101 has 32 divisors (see below), whose sum is σ = 116228974377600. Its totient is φ = 105869611680000.

The previous prime is 111000111101059. The next prime is 111000111101221. The reversal of 111000111101101 is 101101111000111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 111000111101101 - 2²⁵ = 111000077546669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000111105101) 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 31 ways as a sum of consecutive naturals, for example, 8817223915 + ... + 8817236503.

It is an arithmetic number, because the mean of its divisors is an integer number (3632155449300).

Almost surely, 2^{111000111101101} is an apocalyptic number.

It is an amenable number.

111000111101101 is a deficient number, since it is larger than the sum of its proper divisors (5228863276499).

111000111101101 is a wasteful number, since it uses less digits than its factorization.

111000111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19341.

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

Adding to 111000111101101 its reverse (101101111000111), we get a palindrome (212101222101212).

It can be divided in two parts, 111000111 and 101101, that multiplied together give a palindrome (11222222222211).

The spelling of 111000111101101 in words is "one hundred eleven trillion, one hundred eleven million, one hundred one thousand, one hundred one".