112221220200100 has 144 divisors (see below), whose sum is σ = 270749905272000. Its totient is φ = 40032999360000.

The previous prime is 112221220200043. The next prime is 112221220200107. The reversal of 112221220200100 is 1002022122211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112221220200107) 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 47 ways as a sum of consecutive naturals, for example, 7476451 + ... + 16743349.

It is an arithmetic number, because the mean of its divisors is an integer number (1880207675500).

Almost surely, 2^{112221220200100} is an apocalyptic number.

112221220200100 is a gapful number since it is divisible by the number (10) 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 112221220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135374952636000).

112221220200100 is an abundant number, since it is smaller than the sum of its proper divisors (158528685071900).

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

112221220200100 is a wasteful number, since it uses less digits than its factorization.

112221220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267134 (or 9267127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112221220200100 its reverse (1002022122211), we get a palindrome (113223242322311).

It can be divided in two parts, 1122212 and 20200100, that added together give a palindrome (21322312).

The spelling of 112221220200100 in words is "one hundred twelve trillion, two hundred twenty-one billion, two hundred twenty million, two hundred thousand, one hundred".