23001100110001 has 16 divisors (see below), whose sum is σ = 24857957701584. Its totient is φ = 21156766055424.

The previous prime is 23001100109963. The next prime is 23001100110011. The reversal of 23001100110001 is 10001100110032.

It can be written as a sum of positive squares in 8 ways, for example, as 3707746653601 + 19293353456400 = 1925551^2 + 4392420^2 .

It is a cyclic number.

It is not a de Polignac number, because 23001100110001 - 2¹⁵ = 23001100077233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23001100110001.

It is not an unprimeable number, because it can be changed into a prime (23001100110011) 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 15 ways as a sum of consecutive naturals, for example, 31547565 + ... + 32268421.

It is an arithmetic number, because the mean of its divisors is an integer number (1553622356349).

Almost surely, 2^{23001100110001} is an apocalyptic number.

It is an amenable number.

23001100110001 is a deficient number, since it is larger than the sum of its proper divisors (1856857591583).

23001100110001 is a wasteful number, since it uses less digits than its factorization.

23001100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729540.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 23001100110001 its reverse (10001100110032), we get a palindrome (33002200220033).

The spelling of 23001100110001 in words is "twenty-three trillion, one billion, one hundred million, one hundred ten thousand, one".