320010003220221 has 24 divisors (see below), whose sum is σ = 486014815542360. Its totient is φ = 202606672464000.

The previous prime is 320010003220213. The next prime is 320010003220241. The reversal of 320010003220221 is 122022300010023.

320010003220221 is a `hidden beast` number, since 3 + 20 + 0 + 100 + 0 + 322 + 0 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72293441528025 + 247716561692196 = 8502555^2 + 15739014^2 .

It is not a de Polignac number, because 320010003220221 - 2³ = 320010003220213 is a prime.

It is a super-2 number, since 2×320010003220221² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320010003220194 and 320010003220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320010003220241) 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, 10049918230 + ... + 10049950071.

It is an arithmetic number, because the mean of its divisors is an integer number (20250617314265).

Almost surely, 2^{320010003220221} is an apocalyptic number.

It is an amenable number.

320010003220221 is a deficient number, since it is larger than the sum of its proper divisors (166004812322139).

320010003220221 is a wasteful number, since it uses less digits than its factorization.

320010003220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20099868397 (or 20099868394 counting only the distinct ones).

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

Adding to 320010003220221 its reverse (122022300010023), we get a palindrome (442032303230244).

The spelling of 320010003220221 in words is "three hundred twenty trillion, ten billion, three million, two hundred twenty thousand, two hundred twenty-one".