201221220022200 has 384 divisors, whose sum is σ = 792661905676800. Its totient is φ = 45961313448960.

The previous prime is 201221220022111. The next prime is 201221220022213. The reversal of 201221220022200 is 2220022122102.

201221220022200 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 220 + 0 + 2 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52309999 + ... + 56024801.

It is an arithmetic number, because the mean of its divisors is an integer number (2064223712700).

Almost surely, 2^{201221220022200} is an apocalyptic number.

201221220022200 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 201221220022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396330952838400).

201221220022200 is an abundant number, since it is smaller than the sum of its proper divisors (591440685654600).

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

201221220022200 is a wasteful number, since it uses less digits than its factorization.

201221220022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716268 (or 3716253 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201221220022200 its reverse (2220022122102), we get a palindrome (203441242144302).

The spelling of 201221220022200 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred".