22112101100100 has 144 divisors (see below), whose sum is σ = 69801130316736. Its totient is φ = 5359948800000.

The previous prime is 22112101100093. The next prime is 22112101100113. The reversal of 22112101100100 is 100110121122.

It is a super-2 number, since 2×22112101100100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31654600 + ... + 32345600.

It is an arithmetic number, because the mean of its divisors is an integer number (484730071644).

Almost surely, 2^{22112101100100} is an apocalyptic number.

22112101100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112101100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34900565158368).

22112101100100 is an abundant number, since it is smaller than the sum of its proper divisors (47689029216636).

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

22112101100100 is a wasteful number, since it uses less digits than its factorization.

22112101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700726 (or 700719 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22112101100100 its reverse (100110121122), we get a palindrome (22212211221222).

The spelling of 22112101100100 in words is "twenty-two trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one hundred".