12100101010993 has 2 divisors, whose sum is σ = 12100101010994. Its totient is φ = 12100101010992.

The previous prime is 12100101010931. The next prime is 12100101011099. The reversal of 12100101010993 is 39901010100121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10924195001329 + 1175906009664 = 3305177^2 + 1084392^2 .

It is an emirp because it is prime and its reverse (39901010100121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12100101010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100101010903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050050505496 + 6050050505497.

It is an arithmetic number, because the mean of its divisors is an integer number (6050050505497).

Almost surely, 2^{12100101010993} is an apocalyptic number.

It is an amenable number.

12100101010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100101010993 is an equidigital number, since it uses as much as digits as its factorization.

12100101010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 12100101010993 in words is "twelve trillion, one hundred billion, one hundred one million, ten thousand, nine hundred ninety-three".