202222102122112 has 128 divisors (see below), whose sum is σ = 408629255201280. Its totient is φ = 99673846272000.

The previous prime is 202222102122109. The next prime is 202222102122137. The reversal of 202222102122112 is 211221201222202.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2807395537 + ... + 2807467567.

It is an arithmetic number, because the mean of its divisors is an integer number (3192416056260).

Almost surely, 2^{202222102122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202222102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204314627600640).

202222102122112 is an abundant number, since it is smaller than the sum of its proper divisors (206407153079168).

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

202222102122112 is a wasteful number, since it uses less digits than its factorization.

202222102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73090 (or 73078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202222102122112 its reverse (211221201222202), we get a palindrome (413443303344314).

It can be divided in two parts, 20222210 and 2122112, that added together give a palindrome (22344322).

The spelling of 202222102122112 in words is "two hundred two trillion, two hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".