22102200002112 has 112 divisors (see below), whose sum is σ = 59908401619584. Its totient is φ = 7187304960000.

The previous prime is 22102200002089. The next prime is 22102200002119. The reversal of 22102200002112 is 21120000220122.

It is a junction number, because it is equal to n+sod(n) for n = 22102200002091 and 22102200002100.

It is not an unprimeable number, because it can be changed into a prime (22102200002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161709162 + ... + 161845782.

It is an arithmetic number, because the mean of its divisors is an integer number (534896443032).

Almost surely, 2^{22102200002112} 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 22102200002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29954200809792).

22102200002112 is an abundant number, since it is smaller than the sum of its proper divisors (37806201617472).

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

22102200002112 is a wasteful number, since it uses less digits than its factorization.

22102200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157228 (or 157218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102200002112 its reverse (21120000220122), we get a palindrome (43222200222234).

The spelling of 22102200002112 in words is "twenty-two trillion, one hundred two billion, two hundred million, two thousand, one hundred twelve".