110101100999993 has 2 divisors, whose sum is σ = 110101100999994. Its totient is φ = 110101100999992.

The previous prime is 110101100999977. The next prime is 110101100999999. The reversal of 110101100999993 is 399999001101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105591819020944 + 4509281979049 = 10275788^2 + 2123507^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101100999993 - 2⁴ = 110101100999977 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101100999999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550499996 + 55050550499997.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550499997).

Almost surely, 2^{110101100999993} is an apocalyptic number.

It is an amenable number.

110101100999993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100999993 is an equidigital number, since it uses as much as digits as its factorization.

110101100999993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 177147, while the sum is 53.

The spelling of 110101100999993 in words is "one hundred ten trillion, one hundred one billion, one hundred million, nine hundred ninety-nine thousand, nine hundred ninety-three".