21123310132101 has 16 divisors (see below), whose sum is σ = 28310713868096. Its totient is φ = 14009058487296.

The previous prime is 21123310132061. The next prime is 21123310132121. The reversal of 21123310132101 is 10123101332112.

It is not a de Polignac number, because 21123310132101 - 2¹⁸ = 21123309869957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123310132121) 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, 55052946 + ... + 55435308.

It is an arithmetic number, because the mean of its divisors is an integer number (1769419616756).

Almost surely, 2^{21123310132101} is an apocalyptic number.

It is an amenable number.

21123310132101 is a deficient number, since it is larger than the sum of its proper divisors (7187403735995).

21123310132101 is a wasteful number, since it uses less digits than its factorization.

21123310132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477972.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21123310132101 its reverse (10123101332112), we get a palindrome (31246411464213).

The spelling of 21123310132101 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred ten million, one hundred thirty-two thousand, one hundred one".