22101222122112 has 128 divisors (see below), whose sum is σ = 71039642682240. Its totient is φ = 5943185768448.

The previous prime is 22101222122041. The next prime is 22101222122191. The reversal of 22101222122112 is 21122122210122.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241783153 + ... + 241874544.

It is an arithmetic number, because the mean of its divisors is an integer number (554997208455).

Almost surely, 2^{22101222122112} is an apocalyptic number.

It is an amenable number.

22101222122112 is an abundant number, since it is smaller than the sum of its proper divisors (48938420560128).

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

22101222122112 is a wasteful number, since it uses less digits than its factorization.

22101222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483657738 (or 483657726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 22101222122112 its reverse (21122122210122), we get a palindrome (43223344332234).

The spelling of 22101222122112 in words is "twenty-two trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".