112000100202000 has 480 divisors, whose sum is σ = 408895101538560. Its totient is φ = 28518569164800.

The previous prime is 112000100201959. The next prime is 112000100202017. The reversal of 112000100202000 is 202001000211.

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 95 ways as a sum of consecutive naturals, for example, 238643571 + ... + 239112429.

It is an arithmetic number, because the mean of its divisors is an integer number (851864794872).

Almost surely, 2^{112000100202000} is an apocalyptic number.

112000100202000 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 112000100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204447550769280).

112000100202000 is an abundant number, since it is smaller than the sum of its proper divisors (296895001336560).

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

112000100202000 is a wasteful number, since it uses less digits than its factorization.

112000100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469488 (or 469469 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112000100202000 its reverse (202001000211), we get a palindrome (112202101202211).

The spelling of 112000100202000 in words is "one hundred twelve trillion, one hundred million, two hundred two thousand".