110111300102113 has 2 divisors, whose sum is σ = 110111300102114. Its totient is φ = 110111300102112.

The previous prime is 110111300102107. The next prime is 110111300102147. The reversal of 110111300102113 is 311201003111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107990816610769 + 2120483491344 = 10391863^2 + 1456188^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111300102113 - 2⁵ = 110111300102081 is a prime.

It is not a weakly prime, because it can be changed into another prime (110111300102183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055650051056 + 55055650051057.

It is an arithmetic number, because the mean of its divisors is an integer number (55055650051057).

Almost surely, 2^{110111300102113} is an apocalyptic number.

It is an amenable number.

110111300102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111300102113 is an equidigital number, since it uses as much as digits as its factorization.

110111300102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 110111300102113 its reverse (311201003111011), we get a palindrome (421312303213124).

The spelling of 110111300102113 in words is "one hundred ten trillion, one hundred eleven billion, three hundred million, one hundred two thousand, one hundred thirteen".