111001101110001 has 20 divisors (see below), whose sum is σ = 165821607890532. Its totient is φ = 73998436526208.

The previous prime is 111001101109981. The next prime is 111001101110017. The reversal of 111001101110001 is 100011101100111.

It can be written as a sum of positive squares in 2 ways, for example, as 70533945605601 + 40467155504400 = 8398449^2 + 6361380^2 .

It is not a de Polignac number, because 111001101110001 - 2³³ = 110992511175409 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 (111001101110041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18646596 + ... + 23868341.

Almost surely, 2^{111001101110001} is an apocalyptic number.

It is an amenable number.

111001101110001 is a deficient number, since it is larger than the sum of its proper divisors (54820506780531).

111001101110001 is an equidigital number, since it uses as much as digits as its factorization.

111001101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42547182 (or 42547173 counting only the distinct ones).

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

Adding to 111001101110001 its reverse (100011101100111), we get a palindrome (211012202210112).

The spelling of 111001101110001 in words is "one hundred eleven trillion, one billion, one hundred one million, one hundred ten thousand, one".