110001000110093 has 2 divisors, whose sum is σ = 110001000110094. Its totient is φ = 110001000110092.

The previous prime is 110001000110087. The next prime is 110001000110161. The reversal of 110001000110093 is 390011000100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109996402998889 + 4597111204 = 10487917^2 + 67802^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001000110093 - 2³⁸ = 109726122203149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001000110033) 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, 55000500055046 + 55000500055047.

It is an arithmetic number, because the mean of its divisors is an integer number (55000500055047).

Almost surely, 2^{110001000110093} is an apocalyptic number.

It is an amenable number.

110001000110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001000110093 is an equidigital number, since it uses as much as digits as its factorization.

110001000110093 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 110001000110093 in words is "one hundred ten trillion, one billion, one hundred ten thousand, ninety-three".