112102002212200 has 576 divisors, whose sum is σ = 358574143536000. Its totient is φ = 31706423654400.

The previous prime is 112102002212177. The next prime is 112102002212203. The reversal of 112102002212200 is 2212200201211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112102002212203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129498406 + ... + 130361194.

It is an arithmetic number, because the mean of its divisors is an integer number (622524554750).

Almost surely, 2^{112102002212200} is an apocalyptic number.

112102002212200 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 112102002212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179287071768000).

112102002212200 is an abundant number, since it is smaller than the sum of its proper divisors (246472141323800).

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

112102002212200 is a wasteful number, since it uses less digits than its factorization.

112102002212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862906 (or 862886 counting only the distinct ones).

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

Adding to 112102002212200 its reverse (2212200201211), we get a palindrome (114314202413411).

The spelling of 112102002212200 in words is "one hundred twelve trillion, one hundred two billion, two million, two hundred twelve thousand, two hundred".