110110121221081 has 2 divisors, whose sum is σ = 110110121221082. Its totient is φ = 110110121221080.

The previous prime is 110110121221063. The next prime is 110110121221181. The reversal of 110110121221081 is 180122121011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108959777024400 + 1150344196681 = 10438380^2 + 1072541^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110121221081 - 2⁵ = 110110121221049 is a prime.

It is a super-2 number, since 2×110110121221081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110110121221181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055060610540 + 55055060610541.

It is an arithmetic number, because the mean of its divisors is an integer number (55055060610541).

Almost surely, 2^{110110121221081} is an apocalyptic number.

It is an amenable number.

110110121221081 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110121221081 is an equidigital number, since it uses as much as digits as its factorization.

110110121221081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 110110121221081 its reverse (180122121011011), we get a palindrome (290232242232092).

The spelling of 110110121221081 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty-one thousand, eighty-one".