112001012010000 has 800 divisors, whose sum is σ = 406451014041600. Its totient is φ = 29517065280000.

The previous prime is 112001012009987. The next prime is 112001012010037. The reversal of 112001012010000 is 10210100211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12682705585 + ... + 12682714415.

It is an arithmetic number, because the mean of its divisors is an integer number (508063767552).

Almost surely, 2^{112001012010000} is an apocalyptic number.

112001012010000 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 112001012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203225507020800).

112001012010000 is an abundant number, since it is smaller than the sum of its proper divisors (294450002031600).

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

112001012010000 is a wasteful number, since it uses less digits than its factorization.

112001012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112001012010000 its reverse (10210100211), we get a palindrome (112011222110211).

The spelling of 112001012010000 in words is "one hundred twelve trillion, one billion, twelve million, ten thousand".