112000102210000 has 400 divisors, whose sum is σ = 288424364659200. Its totient is φ = 42043276800000.

The previous prime is 112000102209953. The next prime is 112000102210013. The reversal of 112000102210000 is 12201000211.

112000102210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3222172621 + ... + 3222207379.

It is an arithmetic number, because the mean of its divisors is an integer number (721060911648).

Almost surely, 2^{112000102210000} is an apocalyptic number.

112000102210000 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 112000102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144212182329600).

112000102210000 is an abundant number, since it is smaller than the sum of its proper divisors (176424262449200).

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

112000102210000 is a wasteful number, since it uses less digits than its factorization.

112000102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35128 (or 35107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112000102210000 its reverse (12201000211), we get a palindrome (112012303210211).

The spelling of 112000102210000 in words is "one hundred twelve trillion, one hundred two million, two hundred ten thousand".