202221231330200 has 96 divisors (see below), whose sum is σ = 482921721984000. Its totient is φ = 78694132746240.

The previous prime is 202221231330091. The next prime is 202221231330203. The reversal of 202221231330200 is 2033132122202.

It is a super-2 number, since 2×202221231330200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221231330203) 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, 69986537 + ... + 72818663.

It is an arithmetic number, because the mean of its divisors is an integer number (5030434604000).

Almost surely, 2^{202221231330200} is an apocalyptic number.

202221231330200 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 202221231330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241460860992000).

202221231330200 is an abundant number, since it is smaller than the sum of its proper divisors (280700490653800).

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

202221231330200 is a wasteful number, since it uses less digits than its factorization.

202221231330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841829 (or 2841820 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 202221231330200 its reverse (2033132122202), we get a palindrome (204254363452402).

The spelling of 202221231330200 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred thirty thousand, two hundred".