112122100102120 has 32 divisors (see below), whose sum is σ = 252618892724520. Its totient is φ = 44787654708480.

The previous prime is 112122100102081. The next prime is 112122100102123. The reversal of 112122100102120 is 21201001221211.

It can be written as a sum of positive squares in 4 ways, for example, as 110358680770276 + 1763419331844 = 10505174^2 + 1327938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112122100102094 and 112122100102103.

It is not an unprimeable number, because it can be changed into a prime (112122100102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912011951 + ... + 1912070590.

Almost surely, 2^{112122100102120} is an apocalyptic number.

112122100102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122100102120 is an abundant number, since it is smaller than the sum of its proper divisors (140496792622400).

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

112122100102120 is a wasteful number, since it uses less digits than its factorization.

112122100102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824083285 (or 3824083281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112122100102120 its reverse (21201001221211), we get a palindrome (133323101323331).

The spelling of 112122100102120 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred twenty".