222122202100200 has 288 divisors, whose sum is σ = 785384591097600. Its totient is φ = 56103425280000.

The previous prime is 222122202100189. The next prime is 222122202100223. The reversal of 222122202100200 is 2001202221222.

222122202100200 is a `hidden beast` number, since 2 + 2 + 212 + 220 + 210 + 0 + 20 + 0 = 666.

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

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, 164548000 + ... + 165892400.

It is an arithmetic number, because the mean of its divisors is an integer number (2727029830200).

Almost surely, 2^{222122202100200} is an apocalyptic number.

222122202100200 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 222122202100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392692295548800).

222122202100200 is an abundant number, since it is smaller than the sum of its proper divisors (563262388997400).

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

222122202100200 is a wasteful number, since it uses less digits than its factorization.

222122202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349273 (or 1349261 counting only the distinct ones).

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

Adding to 222122202100200 its reverse (2001202221222), we get a palindrome (224123404321422).

The spelling of 222122202100200 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, two hundred".