111100001000001 has 64 divisors (see below), whose sum is σ = 169041198703104. Its totient is φ = 64391424768000.

The previous prime is 111100000999987. The next prime is 111100001000003. The reversal of 111100001000001 is 100000100001111.

It is not a de Polignac number, because 111100001000001 - 2¹⁷ = 111100000868929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111100001000003) 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 63 ways as a sum of consecutive naturals, for example, 13010461 + ... + 19785653.

It is an arithmetic number, because the mean of its divisors is an integer number (2641268729736).

Almost surely, 2^{111100001000001} is an apocalyptic number.

It is an amenable number.

111100001000001 is a deficient number, since it is larger than the sum of its proper divisors (57941197703103).

111100001000001 is a wasteful number, since it uses less digits than its factorization.

111100001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775514.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111100001000001 its reverse (100000100001111), we get a palindrome (211100101001112).

The spelling of 111100001000001 in words is "one hundred eleven trillion, one hundred billion, one million, one", and thus it is an aban number.