202202221010000 has 50 divisors (see below), whose sum is σ = 489551797311522. Its totient is φ = 80880888400000.

The previous prime is 202202221009993. The next prime is 202202221010003. The reversal of 202202221010000 is 10122202202.

It can be written as a sum of positive squares in 5 ways, for example, as 65558558886976 + 136643662123024 = 8096824^2 + 11689468^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202221010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10110101051 + ... + 10110121050.

Almost surely, 2^{202202221010000} is an apocalyptic number.

202202221010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202221010000 is an abundant number, since it is smaller than the sum of its proper divisors (287349576301522).

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

202202221010000 is an equidigital number, since it uses as much as digits as its factorization.

202202221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20220222129 (or 20220222108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202202221010000 its reverse (10122202202), we get a palindrome (202212343212202).

The spelling of 202202221010000 in words is "two hundred two trillion, two hundred two billion, two hundred twenty-one million, ten thousand".