21002422013001 has 256 divisors, whose sum is σ = 38344823193600. Its totient is φ = 11191393382400.

The previous prime is 21002422012939. The next prime is 21002422013033. The reversal of 21002422013001 is 10031022420012.

It is a happy number.

21002422013001 is a `hidden beast` number, since 2 + 100 + 242 + 20 + 1 + 300 + 1 = 666.

It is not a de Polignac number, because 21002422013001 - 2⁶ = 21002422012937 is a prime.

It is a super-2 number, since 2×21002422013001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21002422013101) 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 255 ways as a sum of consecutive naturals, for example, 1078641696 + ... + 1078661166.

It is an arithmetic number, because the mean of its divisors is an integer number (149784465600).

Almost surely, 2^{21002422013001} is an apocalyptic number.

It is an amenable number.

21002422013001 is a deficient number, since it is larger than the sum of its proper divisors (17342401180599).

21002422013001 is a wasteful number, since it uses less digits than its factorization.

21002422013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709 (or 19703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21002422013001 its reverse (10031022420012), we get a palindrome (31033444433013).

The spelling of 21002422013001 in words is "twenty-one trillion, two billion, four hundred twenty-two million, thirteen thousand, one".