12100101199993 has 2 divisors, whose sum is σ = 12100101199994. Its totient is φ = 12100101199992.

The previous prime is 12100101199987. The next prime is 12100101200063. The reversal of 12100101199993 is 39999110100121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9949810366224 + 2150290833769 = 3154332^2 + 1466387^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100101199993 - 2²⁹ = 12099564329081 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100101190993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050050599996 + 6050050599997.

It is an arithmetic number, because the mean of its divisors is an integer number (6050050599997).

Almost surely, 2^{12100101199993} is an apocalyptic number.

It is an amenable number.

12100101199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100101199993 is an equidigital number, since it uses as much as digits as its factorization.

12100101199993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 46.

The spelling of 12100101199993 in words is "twelve trillion, one hundred billion, one hundred one million, one hundred ninety-nine thousand, nine hundred ninety-three".