110101100110093 has 2 divisors, whose sum is σ = 110101100110094. Its totient is φ = 110101100110092.

The previous prime is 110101100110063. The next prime is 110101100110109. The reversal of 110101100110093 is 390011001101011.

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., 87573717434889 + 22527382675204 = 9358083^2 + 4746302^2 .

It is an emirp because it is prime and its reverse (390011001101011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101100110093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101100110093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101100110063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550055046 + 55050550055047.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550055047).

Almost surely, 2^{110101100110093} is an apocalyptic number.

It is an amenable number.

110101100110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100110093 is an equidigital number, since it uses as much as digits as its factorization.

110101100110093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 19.

The spelling of 110101100110093 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, ninety-three".