112122022102209 has 192 divisors, whose sum is σ = 210891037593600. Its totient is φ = 58042518665472.

The previous prime is 112122022102159. The next prime is 112122022102219. The reversal of 112122022102209 is 902201220221211.

112122022102209 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 220 + 2 + 210 + 220 + 9 = 666.

It is not a de Polignac number, because 112122022102209 - 2⁸ = 112122022101953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112122022102219) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2965152387 + ... + 2965190199.

It is an arithmetic number, because the mean of its divisors is an integer number (1098390820800).

Almost surely, 2^{112122022102209} is an apocalyptic number.

112122022102209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

112122022102209 is a deficient number, since it is larger than the sum of its proper divisors (98769015491391).

112122022102209 is a wasteful number, since it uses less digits than its factorization.

112122022102209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41866 (or 41854 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 112122022102209 in words is "one hundred twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, two hundred nine".