110110009999993 has 2 divisors, whose sum is σ = 110110009999994. Its totient is φ = 110110009999992.

The previous prime is 110110009999961. The next prime is 110110010000027. The reversal of 110110009999993 is 399999900011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110052940134544 + 57069865449 = 10490612^2 + 238893^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110009999993 - 2⁵ = 110110009999961 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110009999193) 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, 55055004999996 + 55055004999997.

It is an arithmetic number, because the mean of its divisors is an integer number (55055004999997).

Almost surely, 2^{110110009999993} is an apocalyptic number.

It is an amenable number.

110110009999993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110009999993 is an equidigital number, since it uses as much as digits as its factorization.

110110009999993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1594323, while the sum is 61.

The spelling of 110110009999993 in words is "one hundred ten trillion, one hundred ten billion, nine million, nine hundred ninety-nine thousand, nine hundred ninety-three".