202221213020320 has 48 divisors (see below), whose sum is σ = 514497432362760. Its totient is φ = 74666294037504.

The previous prime is 202221213020303. The next prime is 202221213020329. The reversal of 202221213020320 is 23020312122202.

202221213020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 187577457675664 + 14643755344656 = 13695892^2 + 3826716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202221213020291 and 202221213020300.

It is not an unprimeable number, because it can be changed into a prime (202221213020329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48610866435 + ... + 48610870594.

Almost surely, 2^{202221213020320} is an apocalyptic number.

202221213020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221213020320 is an abundant number, since it is smaller than the sum of its proper divisors (312276219342440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202221213020320 is a wasteful number, since it uses less digits than its factorization.

202221213020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97221737057 (or 97221737049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 202221213020320 its reverse (23020312122202), we get a palindrome (225241525142522).

The spelling of 202221213020320 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred thirteen million, twenty thousand, three hundred twenty".