202221120210200 has 288 divisors, whose sum is σ = 587841431052960. Its totient is φ = 63339853824000.

The previous prime is 202221120210163. The next prime is 202221120210223. The reversal of 202221120210200 is 2012021122202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18544550 + ... + 27355850.

It is an arithmetic number, because the mean of its divisors is an integer number (2041116080045).

Almost surely, 2^{202221120210200} is an apocalyptic number.

202221120210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221120210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293920715526480).

202221120210200 is an abundant number, since it is smaller than the sum of its proper divisors (385620310842760).

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

202221120210200 is a wasteful number, since it uses less digits than its factorization.

202221120210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811447 (or 8811425 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202221120210200 its reverse (2012021122202), we get a palindrome (204233141332402).

The spelling of 202221120210200 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred ten thousand, two hundred".