112002221102197 has 2 divisors, whose sum is σ = 112002221102198. Its totient is φ = 112002221102196.

The previous prime is 112002221102143. The next prime is 112002221102251. The reversal of 112002221102197 is 791201122200211.

It is a balanced prime because it is at equal distance from previous prime (112002221102143) and next prime (112002221102251).

It can be written as a sum of positive squares in only one way, i.e., 91029173528241 + 20973047573956 = 9540921^2 + 4579634^2 .

It is a cyclic number.

It is not a de Polignac number, because 112002221102197 - 2²⁷ = 112002086884469 is a prime.

It is a super-3 number, since 3×112002221102197³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112072221102197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56001110551098 + 56001110551099.

It is an arithmetic number, because the mean of its divisors is an integer number (56001110551099).

Almost surely, 2^{112002221102197} is an apocalyptic number.

It is an amenable number.

112002221102197 is a deficient number, since it is larger than the sum of its proper divisors (1).

112002221102197 is an equidigital number, since it uses as much as digits as its factorization.

112002221102197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 112002221102197 in words is "one hundred twelve trillion, two billion, two hundred twenty-one million, one hundred two thousand, one hundred ninety-seven".