111010100110001 has 16 divisors (see below), whose sum is σ = 112106964544848. Its totient is φ = 109918587340800.

The previous prime is 111010100109943. The next prime is 111010100110171. The reversal of 111010100110001 is 100011001010111.

It can be written as a sum of positive squares in 8 ways, for example, as 10874033856400 + 100136066253601 = 3297580^2 + 10006801^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010100110001 - 2³⁴ = 110992920240817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111010100010001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732308281 + ... + 1732372361.

It is an arithmetic number, because the mean of its divisors is an integer number (7006685284053).

Almost surely, 2^{111010100110001} is an apocalyptic number.

It is an amenable number.

111010100110001 is a deficient number, since it is larger than the sum of its proper divisors (1096864434847).

111010100110001 is a wasteful number, since it uses less digits than its factorization.

111010100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105572.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111010100110001 its reverse (100011001010111), we get a palindrome (211021101120112).

The spelling of 111010100110001 in words is "one hundred eleven trillion, ten billion, one hundred million, one hundred ten thousand, one".