21311223121101 has 64 divisors (see below), whose sum is σ = 29763074896128. Its totient is φ = 13551772889088.

The previous prime is 21311223121099. The next prime is 21311223121151. The reversal of 21311223121101 is 10112132211312.

It is not a de Polignac number, because 21311223121101 - 2¹ = 21311223121099 is a prime.

It is a super-2 number, since 2×21311223121101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311223121151) 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 63 ways as a sum of consecutive naturals, for example, 876379795 + ... + 876404111.

It is an arithmetic number, because the mean of its divisors is an integer number (465048045252).

Almost surely, 2^{21311223121101} is an apocalyptic number.

It is an amenable number.

21311223121101 is a deficient number, since it is larger than the sum of its proper divisors (8451851775027).

21311223121101 is a wasteful number, since it uses less digits than its factorization.

21311223121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25230.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 21311223121101 its reverse (10112132211312), we get a palindrome (31423355332413).

The spelling of 21311223121101 in words is "twenty-one trillion, three hundred eleven billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred one".