10110001000193 has 2 divisors, whose sum is σ = 10110001000194. Its totient is φ = 10110001000192.

The previous prime is 10110001000139. The next prime is 10110001000237. The reversal of 10110001000193 is 39100010001101.

Together with previous prime (10110001000139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9739348948849 + 370652051344 = 3120793^2 + 608812^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110001000193 - 2⁶ = 10110001000129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110001020193) 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, 5055000500096 + 5055000500097.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000500097).

Almost surely, 2^{10110001000193} is an apocalyptic number.

It is an amenable number.

10110001000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110001000193 is an equidigital number, since it uses as much as digits as its factorization.

10110001000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10110001000193 its reverse (39100010001101), we get a palindrome (49210011001294).

The spelling of 10110001000193 in words is "ten trillion, one hundred ten billion, one million, one hundred ninety-three", and thus it is an aban number.