332221221100200 has 768 divisors, whose sum is σ = 1166152561459200. Its totient is φ = 77775748300800.

The previous prime is 332221221100163. The next prime is 332221221100211. The reversal of 332221221100200 is 2001122122233.

It is a super-2 number, since 2×332221221100200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26152967049 + ... + 26152979751.

It is an arithmetic number, because the mean of its divisors is an integer number (1518427814400).

Almost surely, 2^{332221221100200} is an apocalyptic number.

332221221100200 is a gapful number since it is divisible by the number (30) 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 332221221100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583076280729600).

332221221100200 is an abundant number, since it is smaller than the sum of its proper divisors (833931340359000).

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

332221221100200 is a wasteful number, since it uses less digits than its factorization.

332221221100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15522 (or 15513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 332221221100200 its reverse (2001122122233), we get a palindrome (334222343222433).

The spelling of 332221221100200 in words is "three hundred thirty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, two hundred".