110001101010193 has 2 divisors, whose sum is σ = 110001101010194. Its totient is φ = 110001101010192.

The previous prime is 110001101010187. The next prime is 110001101010233. The reversal of 110001101010193 is 391010101100011.

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., 106942547737809 + 3058553272384 = 10341303^2 + 1748872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110001101010193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110001101010193.

It is not a weakly prime, because it can be changed into another prime (110001101010113) 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, 55000550505096 + 55000550505097.

It is an arithmetic number, because the mean of its divisors is an integer number (55000550505097).

Almost surely, 2^{110001101010193} is an apocalyptic number.

It is an amenable number.

110001101010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001101010193 is an equidigital number, since it uses as much as digits as its factorization.

110001101010193 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 19.

The spelling of 110001101010193 in words is "one hundred ten trillion, one billion, one hundred one million, ten thousand, one hundred ninety-three".