111111100000011 has 48 divisors (see below), whose sum is σ = 164970975675168. Its totient is φ = 72011097446400.

The previous prime is 111111100000007. The next prime is 111111100000057. The reversal of 111111100000011 is 110000001111111.

It is not a de Polignac number, because 111111100000011 - 2² = 111111100000007 is a prime.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 111111099999939 and 111111100000002.

It is not an unprimeable number, because it can be changed into a prime (111111100000211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022343801 + ... + 2022398741.

It is an arithmetic number, because the mean of its divisors is an integer number (3436895326566).

Almost surely, 2^{111111100000011} is an apocalyptic number.

111111100000011 is a deficient number, since it is larger than the sum of its proper divisors (53859875675157).

111111100000011 is a wasteful number, since it uses less digits than its factorization.

111111100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60012 (or 60009 counting only the distinct ones).

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

Adding to 111111100000011 its reverse (110000001111111), we get a palindrome (221111101111122).

It can be divided in two parts, 11111 and 1100000011, that multiplied together give a palindrome (12222100122221).

The spelling of 111111100000011 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, eleven", and thus it is an aban number.