111100111101011 has 32 divisors (see below), whose sum is σ = 114130010142720. Its totient is φ = 108091537634304.

The previous prime is 111100111100971. The next prime is 111100111101029. The reversal of 111100111101011 is 110101111001111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111100111101011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111100111100983 and 111100111101001.

It is not an unprimeable number, because it can be changed into a prime (111100111109011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42846165731 + ... + 42846168323.

It is an arithmetic number, because the mean of its divisors is an integer number (3566562816960).

Almost surely, 2^{111100111101011} is an apocalyptic number.

111100111101011 is a deficient number, since it is larger than the sum of its proper divisors (3029899041709).

111100111101011 is a wasteful number, since it uses less digits than its factorization.

111100111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111100111101011 its reverse (110101111001111), we get a palindrome (221201222102122).

It can be divided in two parts, 111100 and 111101011, that added together give a palindrome (111212111).

The spelling of 111100111101011 in words is "one hundred eleven trillion, one hundred billion, one hundred eleven million, one hundred one thousand, eleven".