110122110121 has 2 divisors, whose sum is σ = 110122110122. Its totient is φ = 110122110120.

The previous prime is 110122110107. The next prime is 110122110149. The reversal of 110122110121 is 121011221011.

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., 108379882521 + 1742227600 = 329211^2 + 41740^2 .

It is a cyclic number.

It is not a de Polignac number, because 110122110121 - 2¹⁷ = 110121979049 is a prime.

It is not a weakly prime, because it can be changed into another prime (110122110191) 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, 55061055060 + 55061055061.

It is an arithmetic number, because the mean of its divisors is an integer number (55061055061).

Almost surely, 2^110122110121 is an apocalyptic number.

It is an amenable number.

110122110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122110121 is an equidigital number, since it uses as much as digits as its factorization.

110122110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110122110121 its reverse (121011221011), we get a palindrome (231133331132).

The spelling of 110122110121 in words is "one hundred ten billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".