112000011010000 has 100 divisors (see below), whose sum is σ = 274210006662900. Its totient is φ = 44296633216000.

The previous prime is 112000011009989. The next prime is 112000011010091. The reversal of 112000011010000 is 10110000211.

It can be written as a sum of positive squares in 10 ways, for example, as 111989052270144 + 10958739856 = 10582488^2 + 104684^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62031355 + ... + 63811354.

It is an arithmetic number, because the mean of its divisors is an integer number (2742100066629).

Almost surely, 2^{112000011010000} is an apocalyptic number.

112000011010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000011010000 is an abundant number, since it is smaller than the sum of its proper divisors (162209995652900).

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

112000011010000 is an equidigital number, since it uses as much as digits as its factorization.

112000011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125842826 (or 125842805 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112000011010000 its reverse (10110000211), we get a palindrome (112010121010211).

The spelling of 112000011010000 in words is "one hundred twelve trillion, eleven million, ten thousand".