112220211221100 has 288 divisors, whose sum is σ = 374423185382400. Its totient is φ = 28799357932800.

The previous prime is 112220211221099. The next prime is 112220211221143. The reversal of 112220211221100 is 1122112022211.

112220211221100 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 211 + 221 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21703885 + ... + 26372315.

It is an arithmetic number, because the mean of its divisors is an integer number (1300080504800).

Almost surely, 2^{112220211221100} is an apocalyptic number.

112220211221100 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 112220211221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187211592691200).

112220211221100 is an abundant number, since it is smaller than the sum of its proper divisors (262202974161300).

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

112220211221100 is a wasteful number, since it uses less digits than its factorization.

112220211221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668790 (or 4668777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112220211221100 its reverse (1122112022211), we get a palindrome (113342323243311).

The spelling of 112220211221100 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".