110010102000193 has 2 divisors, whose sum is σ = 110010102000194. Its totient is φ = 110010102000192.

The previous prime is 110010102000191. The next prime is 110010102000229. The reversal of 110010102000193 is 391000201010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101086696339344 + 8923405660849 = 10054188^2 + 2987207^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010102000193 - 2¹ = 110010102000191 is a prime.

Together with 110010102000191, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 110010102000193.

It is not a weakly prime, because it can be changed into another prime (110010102000191) 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, 55005051000096 + 55005051000097.

It is an arithmetic number, because the mean of its divisors is an integer number (55005051000097).

Almost surely, 2^{110010102000193} is an apocalyptic number.

It is an amenable number.

110010102000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010102000193 is an equidigital number, since it uses as much as digits as its factorization.

110010102000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 110010102000193 in words is "one hundred ten trillion, ten billion, one hundred two million, one hundred ninety-three", and thus it is an aban number.