22112101100112 has 160 divisors (see below), whose sum is σ = 57655147334400. Its totient is φ = 7302309580800.

The previous prime is 22112101100093. The next prime is 22112101100113. The reversal of 22112101100112 is 21100110121122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22112101100091 and 22112101100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112101100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6020172708 + ... + 6020176380.

It is an arithmetic number, because the mean of its divisors is an integer number (360344670840).

Almost surely, 2^{22112101100112} is an apocalyptic number.

It is an amenable number.

22112101100112 is an abundant number, since it is smaller than the sum of its proper divisors (35543046234288).

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

22112101100112 is a wasteful number, since it uses less digits than its factorization.

22112101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22112101100112 its reverse (21100110121122), we get a palindrome (43212211221234).

The spelling of 22112101100112 in words is "twenty-two trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one hundred twelve".