112102101100000 has 144 divisors (see below), whose sum is σ = 300936666601872. Its totient is φ = 40764400000000.

The previous prime is 112102101099977. The next prime is 112102101100027. The reversal of 112102101100000 is 1101201211.

112102101100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112102101100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49855501 + ... + 52055500.

It is an arithmetic number, because the mean of its divisors is an integer number (2089837962513).

Almost surely, 2^{112102101100000} is an apocalyptic number.

112102101100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102101100000 is an abundant number, since it is smaller than the sum of its proper divisors (188834565501872).

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

112102101100000 is an equidigital number, since it uses as much as digits as its factorization.

112102101100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101911047 (or 101911019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112102101100000 its reverse (1101201211), we get a palindrome (112103202301211).

The spelling of 112102101100000 in words is "one hundred twelve trillion, one hundred two billion, one hundred one million, one hundred thousand".