22101101100112 has 20 divisors (see below), whose sum is σ = 42831194341780. Its totient is φ = 11047889657088.

The previous prime is 22101101100109. The next prime is 22101101100161. The reversal of 22101101100112 is 21100110110122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4998873185856 + 17102227914256 = 2235816^2 + 4135484^2 .

It is a super-3 number, since 3×22101101100112³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22101101100092 and 22101101100101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 166237287 + ... + 166370182.

It is an arithmetic number, because the mean of its divisors is an integer number (2141559717089).

Almost surely, 2^{22101101100112} is an apocalyptic number.

It is an amenable number.

22101101100112 is a deficient number, since it is larger than the sum of its proper divisors (20730093241668).

22101101100112 is a wasteful number, since it uses less digits than its factorization.

22101101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332611630 (or 332611624 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 22101101100112 its reverse (21100110110122), we get a palindrome (43201211210234).

The spelling of 22101101100112 in words is "twenty-two trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred twelve".