112322133322100 has 36 divisors (see below), whose sum is σ = 262488185412684. Its totient is φ = 41472787687680.

The previous prime is 112322133322001. The next prime is 112322133322127. The reversal of 112322133322100 is 1223331223211.

It can be written as a sum of positive squares in 6 ways, for example, as 44507764759396 + 67814368562704 = 6671414^2 + 8234948^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 112322133322100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43200819209 + ... + 43200821808.

Almost surely, 2^{112322133322100} is an apocalyptic number.

112322133322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112322133322100 is an abundant number, since it is smaller than the sum of its proper divisors (150166052090584).

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

112322133322100 is a wasteful number, since it uses less digits than its factorization.

112322133322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86401641044 (or 86401641037 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 112322133322100 its reverse (1223331223211), we get a palindrome (113545464545311).

The spelling of 112322133322100 in words is "one hundred twelve trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred".