111111110000001 has 48 divisors (see below), whose sum is σ = 172010148710400. Its totient is φ = 68933667116160.

The previous prime is 111111109999979. The next prime is 111111110000017. The reversal of 111111110000001 is 100000011111111.

It is not a de Polignac number, because 111111110000001 - 2³⁴ = 111093930130817 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111111112000001) 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 47 ways as a sum of consecutive naturals, for example, 110255200 + ... + 111258398.

It is an arithmetic number, because the mean of its divisors is an integer number (3583544764800).

Almost surely, 2^{111111110000001} is an apocalyptic number.

It is an amenable number.

111111110000001 is a deficient number, since it is larger than the sum of its proper divisors (60899038710399).

111111110000001 is a wasteful number, since it uses less digits than its factorization.

111111110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017726 (or 1017723 counting only the distinct ones).

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

Adding to 111111110000001 its reverse (100000011111111), we get a palindrome (211111121111112).

It can be divided in two parts, 1111111 and 10000001, that multiplied together give a palindrome (11111111111111).

The spelling of 111111110000001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred ten million, one", and thus it is an aban number.