222102220210200 has 1152 divisors, whose sum is σ = 853773330009600. Its totient is φ = 51269594112000.

The previous prime is 222102220210147. The next prime is 222102220210229. The reversal of 222102220210200 is 2012022201222.

222102220210200 is a `hidden beast` number, since 2 + 2 + 210 + 2 + 220 + 210 + 20 + 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 287 ways as a sum of consecutive naturals, for example, 5928556669 + ... + 5928594131.

It is an arithmetic number, because the mean of its divisors is an integer number (741122682300).

Almost surely, 2^{222102220210200} is an apocalyptic number.

222102220210200 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 222102220210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426886665004800).

222102220210200 is an abundant number, since it is smaller than the sum of its proper divisors (631671109799400).

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

222102220210200 is a wasteful number, since it uses less digits than its factorization.

222102220210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37713 (or 37701 counting only the distinct ones).

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

Adding to 222102220210200 its reverse (2012022201222), we get a palindrome (224114242411422).

The spelling of 222102220210200 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twenty million, two hundred ten thousand, two hundred".