222101210101200 has 240 divisors, whose sum is σ = 720511916785920. Its totient is φ = 58473885450240.

The previous prime is 222101210101163. The next prime is 222101210101229. The reversal of 222101210101200 is 2101012101222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222101210101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1918030504 + ... + 1918146296.

It is an arithmetic number, because the mean of its divisors is an integer number (3002132986608).

Almost surely, 2^{222101210101200} is an apocalyptic number.

222101210101200 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 222101210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360255958392960).

222101210101200 is an abundant number, since it is smaller than the sum of its proper divisors (498410706684720).

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

222101210101200 is a wasteful number, since it uses less digits than its factorization.

222101210101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136126 (or 136115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222101210101200 its reverse (2101012101222), we get a palindrome (224202222202422).

The spelling of 222101210101200 in words is "two hundred twenty-two trillion, one hundred one billion, two hundred ten million, one hundred one thousand, two hundred".