21201011310321 has 16 divisors (see below), whose sum is σ = 31409159685120. Its totient is φ = 14133893222160.

The previous prime is 21201011310301. The next prime is 21201011310343. The reversal of 21201011310321 is 12301311010212.

21201011310321 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 0 + 11 + 310 + 321 = 666.

It is not a de Polignac number, because 21201011310321 - 2²³ = 21201002921713 is a prime.

It is a super-2 number, since 2×21201011310321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21201011310294 and 21201011310303.

It is not an unprimeable number, because it can be changed into a prime (21201011310301) 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, 293431 + ... + 6518291.

It is an arithmetic number, because the mean of its divisors is an integer number (1963072480320).

Almost surely, 2^{21201011310321} is an apocalyptic number.

It is an amenable number.

21201011310321 is a deficient number, since it is larger than the sum of its proper divisors (10208148374799).

21201011310321 is a wasteful number, since it uses less digits than its factorization.

21201011310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351013 (or 6351007 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21201011310321 its reverse (12301311010212), we get a palindrome (33502322320533).

The spelling of 21201011310321 in words is "twenty-one trillion, two hundred one billion, eleven million, three hundred ten thousand, three hundred twenty-one".