112200100010010 has 64 divisors (see below), whose sum is σ = 303298900536960. Its totient is φ = 29510163285120.

The previous prime is 112200100009909. The next prime is 112200100010123. The reversal of 112200100010010 is 10010001002211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 112200100009974 and 112200100010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2846253756 + ... + 2846293175.

It is an arithmetic number, because the mean of its divisors is an integer number (4739045320890).

Almost surely, 2^{112200100010010} is an apocalyptic number.

112200100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112200100010010 is an abundant number, since it is smaller than the sum of its proper divisors (191098800526950).

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

112200100010010 is a wasteful number, since it uses less digits than its factorization.

112200100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692547020 (or 5692547014 counting only the distinct ones).

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

Adding to 112200100010010 its reverse (10010001002211), we get a palindrome (122210101012221).

The spelling of 112200100010010 in words is "one hundred twelve trillion, two hundred billion, one hundred million, ten thousand, ten".