110000101193 has 2 divisors, whose sum is σ = 110000101194. Its totient is φ = 110000101192.

The previous prime is 110000101181. The next prime is 110000101241. The reversal of 110000101193 is 391101000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97610630329 + 12389470864 = 312427^2 + 111308^2 .

It is an emirp because it is prime and its reverse (391101000011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110000101193 - 2³⁰ = 108926359369 is a prime.

It is not a weakly prime, because it can be changed into another prime (110000101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000050596 + 55000050597.

It is an arithmetic number, because the mean of its divisors is an integer number (55000050597).

Almost surely, 2^110000101193 is an apocalyptic number.

It is an amenable number.

110000101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000101193 is an equidigital number, since it uses as much as digits as its factorization.

110000101193 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.

The spelling of 110000101193 in words is "one hundred ten billion, one hundred one thousand, one hundred ninety-three".