12303120100081 has 2 divisors, whose sum is σ = 12303120100082. Its totient is φ = 12303120100080.

The previous prime is 12303120100067. The next prime is 12303120100163. The reversal of 12303120100081 is 18000102130321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9948920864481 + 2354199235600 = 3154191^2 + 1534340^2 .

It is a cyclic number.

It is not a de Polignac number, because 12303120100081 - 2¹⁹ = 12303119575793 is a prime.

It is a super-3 number, since 3×12303120100081³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12303120100031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6151560050040 + 6151560050041.

It is an arithmetic number, because the mean of its divisors is an integer number (6151560050041).

Almost surely, 2^{12303120100081} is an apocalyptic number.

It is an amenable number.

12303120100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12303120100081 is an equidigital number, since it uses as much as digits as its factorization.

12303120100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12303120100081 in words is "twelve trillion, three hundred three billion, one hundred twenty million, one hundred thousand, eighty-one".