21330022120321 has 24 divisors (see below), whose sum is σ = 22714686792000. Its totient is φ = 20005501449024.

The previous prime is 21330022120283. The next prime is 21330022120331. The reversal of 21330022120321 is 12302122003312.

It is not a de Polignac number, because 21330022120321 - 2²³ = 21330013731713 is a prime.

It is a super-2 number, since 2×21330022120321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21330022120292 and 21330022120301.

It is not an unprimeable number, because it can be changed into a prime (21330022120331) 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 23 ways as a sum of consecutive naturals, for example, 24140940 + ... + 25008898.

It is an arithmetic number, because the mean of its divisors is an integer number (946445283000).

Almost surely, 2^{21330022120321} is an apocalyptic number.

It is an amenable number.

21330022120321 is a deficient number, since it is larger than the sum of its proper divisors (1384664671679).

21330022120321 is an equidigital number, since it uses as much as digits as its factorization.

21330022120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868681 (or 868644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21330022120321 its reverse (12302122003312), we get a palindrome (33632144123633).

The spelling of 21330022120321 in words is "twenty-one trillion, three hundred thirty billion, twenty-two million, one hundred twenty thousand, three hundred twenty-one".