21201022003221 has 24 divisors (see below), whose sum is σ = 31679911350360. Its totient is φ = 13646538662400.

The previous prime is 21201022003207. The next prime is 21201022003247. The reversal of 21201022003221 is 12230022010212.

21201022003221 is a `hidden beast` number, since 2 + 120 + 1 + 0 + 220 + 0 + 322 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192448916100 + 21008573087121 = 438690^2 + 4583511^2 .

It is not a de Polignac number, because 21201022003221 - 2²² = 21201017808917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21201022003194 and 21201022003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201022003261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67526161 + ... + 67839401.

It is an arithmetic number, because the mean of its divisors is an integer number (1319996306265).

Almost surely, 2^{21201022003221} is an apocalyptic number.

It is an amenable number.

21201022003221 is a deficient number, since it is larger than the sum of its proper divisors (10478889347139).

21201022003221 is a wasteful number, since it uses less digits than its factorization.

21201022003221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572597 (or 572594 counting only the distinct ones).

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

Adding to 21201022003221 its reverse (12230022010212), we get a palindrome (33431044013433).

The spelling of 21201022003221 in words is "twenty-one trillion, two hundred one billion, twenty-two million, three thousand, two hundred twenty-one".