23211100013101 has 64 divisors (see below), whose sum is σ = 31250357913600. Its totient is φ = 16649360006400.

The previous prime is 23211100013077. The next prime is 23211100013107. The reversal of 23211100013101 is 10131000111232.

It is a happy number.

It is not a de Polignac number, because 23211100013101 - 2²¹ = 23211097915949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211100013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1366878031 + ... + 1366895011.

It is an arithmetic number, because the mean of its divisors is an integer number (488286842400).

Almost surely, 2^{23211100013101} is an apocalyptic number.

It is an amenable number.

23211100013101 is a deficient number, since it is larger than the sum of its proper divisors (8039257900499).

23211100013101 is a wasteful number, since it uses less digits than its factorization.

23211100013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20690.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 23211100013101 its reverse (10131000111232), we get a palindrome (33342100124333).

The spelling of 23211100013101 in words is "twenty-three trillion, two hundred eleven billion, one hundred million, thirteen thousand, one hundred one".