111111101111011 has 8 divisors (see below), whose sum is σ = 111156673608864. Its totient is φ = 111065535477120.

The previous prime is 111111101110927. The next prime is 111111101111063. The reversal of 111111101111011 is 110111101111111.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111111101111011 - 2²⁹ = 111110564240099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111111101110982 and 111111101111000.

It is not an unprimeable number, because it can be changed into a prime (111111101111411) 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 7 ways as a sum of consecutive naturals, for example, 30792021 + ... + 34210681.

It is an arithmetic number, because the mean of its divisors is an integer number (13894584201108).

Almost surely, 2^{111111101111011} is an apocalyptic number.

111111101111011 is a deficient number, since it is larger than the sum of its proper divisors (45572497853).

111111101111011 is a wasteful number, since it uses less digits than its factorization.

111111101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431981.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 111111101111011 its reverse (110111101111111), we get a palindrome (221222202222122).

It can be divided in two parts, 11111 and 1101111011, that multiplied together give a palindrome (12234444443221).

The spelling of 111111101111011 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, eleven".