111101010000193 has 2 divisors, whose sum is σ = 111101010000194. Its totient is φ = 111101010000192.

The previous prime is 111101010000109. The next prime is 111101010000209. The reversal of 111101010000193 is 391000010101111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109276435810369 + 1824574189824 = 10453537^2 + 1350768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101010000193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101010000193.

It is not a weakly prime, because it can be changed into another prime (111101010009193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550505000096 + 55550505000097.

It is an arithmetic number, because the mean of its divisors is an integer number (55550505000097).

Almost surely, 2^{111101010000193} is an apocalyptic number.

It is an amenable number.

111101010000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101010000193 is an equidigital number, since it uses as much as digits as its factorization.

111101010000193 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 111101010000193 in words is "one hundred eleven trillion, one hundred one billion, ten million, one hundred ninety-three", and thus it is an aban number.