110605106050081 has 2 divisors, whose sum is σ = 110605106050082. Its totient is φ = 110605106050080.

The previous prime is 110605106050079. The next prime is 110605106050171. The reversal of 110605106050081 is 180050601506011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89729847637056 + 20875258413025 = 9472584^2 + 4568945^2 .

It is a cyclic number.

It is not a de Polignac number, because 110605106050081 - 2¹ = 110605106050079 is a prime.

It is a super-2 number, since 2×110605106050081² (a number of 29 digits) contains 22 as substring.

Together with 110605106050079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110605106050051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55302553025040 + 55302553025041.

It is an arithmetic number, because the mean of its divisors is an integer number (55302553025041).

Almost surely, 2^{110605106050081} is an apocalyptic number.

It is an amenable number.

110605106050081 is a deficient number, since it is larger than the sum of its proper divisors (1).

110605106050081 is an equidigital number, since it uses as much as digits as its factorization.

110605106050081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 34.

Adding to 110605106050081 its reverse (180050601506011), we get a palindrome (290655707556092).

The spelling of 110605106050081 in words is "one hundred ten trillion, six hundred five billion, one hundred six million, fifty thousand, eighty-one".