111011111000001 has 12 divisors (see below), whose sum is σ = 160352923725540. Its totient is φ = 74005772947200.

The previous prime is 111011110999961. The next prime is 111011111000033. The reversal of 111011111000001 is 100000111110111.

It can be written as a sum of positive squares in 2 ways, for example, as 62380362719376 + 48630748280625 = 7898124^2 + 6973575^2 .

It is not a de Polignac number, because 111011111000001 - 2⁹ = 111011110999489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (111011111000051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135768600 + ... + 136583801.

It is an arithmetic number, because the mean of its divisors is an integer number (13362743643795).

Almost surely, 2^{111011111000001} is an apocalyptic number.

It is an amenable number.

111011111000001 is a deficient number, since it is larger than the sum of its proper divisors (49341812725539).

111011111000001 is a wasteful number, since it uses less digits than its factorization.

111011111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272397696 (or 272397693 counting only the distinct ones).

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

Adding to 111011111000001 its reverse (100000111110111), we get a palindrome (211011222110112).

The spelling of 111011111000001 in words is "one hundred eleven trillion, eleven billion, one hundred eleven million, one", and thus it is an aban number.