111010110100001 has 32 divisors (see below), whose sum is σ = 132519269376000. Its totient is φ = 90922050204480.

The previous prime is 111010110099997. The next prime is 111010110100033. The reversal of 111010110100001 is 100001011010111.

It is a cyclic number.

It is not a de Polignac number, because 111010110100001 - 2² = 111010110099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111010110106001) 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 31 ways as a sum of consecutive naturals, for example, 630941720 + ... + 631117638.

It is an arithmetic number, because the mean of its divisors is an integer number (4141227168000).

Almost surely, 2^{111010110100001} is an apocalyptic number.

It is an amenable number.

111010110100001 is a deficient number, since it is larger than the sum of its proper divisors (21509159275999).

111010110100001 is a wasteful number, since it uses less digits than its factorization.

111010110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179909.

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

Adding to 111010110100001 its reverse (100001011010111), we get a palindrome (211011121110112).

The spelling of 111010110100001 in words is "one hundred eleven trillion, ten billion, one hundred ten million, one hundred thousand, one".