112222200113100 has 648 divisors, whose sum is σ = 469875847896000. Its totient is φ = 22091586451200.

The previous prime is 112222200113077. The next prime is 112222200113117. The reversal of 112222200113100 is 1311002222211.

112222200113100 is a `hidden beast` number, since 1 + 122 + 2 + 220 + 0 + 11 + 310 + 0 = 666.

It is a super-2 number, since 2×112222200113100² (a number of 29 digits) contains 22 as substring.

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

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 215 ways as a sum of consecutive naturals, for example, 3129051 + ... + 15304749.

Almost surely, 2^{112222200113100} is an apocalyptic number.

112222200113100 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 112222200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234937923948000).

112222200113100 is an abundant number, since it is smaller than the sum of its proper divisors (357653647782900).

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

112222200113100 is a wasteful number, since it uses less digits than its factorization.

112222200113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175763 (or 12175746 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112222200113100 its reverse (1311002222211), we get a palindrome (113533202335311).

The spelling of 112222200113100 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred million, one hundred thirteen thousand, one hundred".