12002100312193 has 2 divisors, whose sum is σ = 12002100312194. Its totient is φ = 12002100312192.

The previous prime is 12002100312161. The next prime is 12002100312197. The reversal of 12002100312193 is 39121300120021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11555458046224 + 446642265969 = 3399332^2 + 668313^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002100312193 - 2⁵ = 12002100312161 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002100312197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001050156096 + 6001050156097.

It is an arithmetic number, because the mean of its divisors is an integer number (6001050156097).

Almost surely, 2^{12002100312193} is an apocalyptic number.

It is an amenable number.

12002100312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002100312193 is an equidigital number, since it uses as much as digits as its factorization.

12002100312193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 12002100312193 in words is "twelve trillion, two billion, one hundred million, three hundred twelve thousand, one hundred ninety-three".