21122002242013 has 16 divisors (see below), whose sum is σ = 23046092092800. Its totient is φ = 19281896544960.

The previous prime is 21122002241971. The next prime is 21122002242067. The reversal of 21122002242013 is 31024220022112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122002242013 is a prime.

It is a super-2 number, since 2×21122002242013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122002242073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37828158 + ... + 38382463.

It is an arithmetic number, because the mean of its divisors is an integer number (1440380755800).

Almost surely, 2^{21122002242013} is an apocalyptic number.

It is an amenable number.

21122002242013 is a deficient number, since it is larger than the sum of its proper divisors (1924089850787).

21122002242013 is a wasteful number, since it uses less digits than its factorization.

21122002242013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76211172.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21122002242013 its reverse (31024220022112), we get a palindrome (52146222264125).

The spelling of 21122002242013 in words is "twenty-one trillion, one hundred twenty-two billion, two million, two hundred forty-two thousand, thirteen".