112102202002221 has 48 divisors (see below), whose sum is σ = 164840556429120. Its totient is φ = 73396409264640.

The previous prime is 112102202002213. The next prime is 112102202002247. The reversal of 112102202002221 is 122200202201211.

It is a happy number.

112102202002221 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 220 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 112102202002221 - 2³ = 112102202002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112102202002194 and 112102202002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102202002621) 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 47 ways as a sum of consecutive naturals, for example, 298550031 + ... + 298925283.

It is an arithmetic number, because the mean of its divisors is an integer number (3434178258940).

Almost surely, 2^{112102202002221} is an apocalyptic number.

It is an amenable number.

112102202002221 is a deficient number, since it is larger than the sum of its proper divisors (52738354426899).

112102202002221 is a wasteful number, since it uses less digits than its factorization.

112102202002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376826 (or 376823 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112102202002221 its reverse (122200202201211), we get a palindrome (234302404203432).

The spelling of 112102202002221 in words is "one hundred twelve trillion, one hundred two billion, two hundred two million, two thousand, two hundred twenty-one".