21200032003221 has 6 divisors (see below), whose sum is σ = 30622268449110. Its totient is φ = 14133354668808.

The previous prime is 21200032003201. The next prime is 21200032003261. The reversal of 21200032003221 is 12230023000212.

21200032003221 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 0 + 320 + 0 + 322 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20945395704996 + 254636298225 = 4576614^2 + 504615^2 .

It is not a de Polignac number, because 21200032003221 - 2³⁸ = 20925154096277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21200032003194 and 21200032003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200032003201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1177779555726 + ... + 1177779555743.

It is an arithmetic number, because the mean of its divisors is an integer number (5103711408185).

Almost surely, 2^{21200032003221} is an apocalyptic number.

It is an amenable number.

21200032003221 is a deficient number, since it is larger than the sum of its proper divisors (9422236445889).

21200032003221 is a wasteful number, since it uses less digits than its factorization.

21200032003221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355559111475 (or 2355559111472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21200032003221 its reverse (12230023000212), we get a palindrome (33430055003433).

The spelling of 21200032003221 in words is "twenty-one trillion, two hundred billion, thirty-two million, three thousand, two hundred twenty-one".