110116913384321 has 2 divisors, whose sum is σ = 110116913384322. Its totient is φ = 110116913384320.

The previous prime is 110116913384297. The next prime is 110116913384369. The reversal of 110116913384321 is 123483319611011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106406239315600 + 3710674068721 = 10315340^2 + 1926311^2 .

It is a cyclic number.

It is not a de Polignac number, because 110116913384321 - 2¹⁰ = 110116913383297 is a prime.

It is a super-2 number, since 2×110116913384321² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (110116913884321) 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, 55058456692160 + 55058456692161.

It is an arithmetic number, because the mean of its divisors is an integer number (55058456692161).

Almost surely, 2^{110116913384321} is an apocalyptic number.

It is an amenable number.

110116913384321 is a deficient number, since it is larger than the sum of its proper divisors (1).

110116913384321 is an equidigital number, since it uses as much as digits as its factorization.

110116913384321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 110116913384321 in words is "one hundred ten trillion, one hundred sixteen billion, nine hundred thirteen million, three hundred eighty-four thousand, three hundred twenty-one".