110121110122109 has 2 divisors, whose sum is σ = 110121110122110. Its totient is φ = 110121110122108.

The previous prime is 110121110121977. The next prime is 110121110122171. The reversal of 110121110122109 is 901221011121011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87112299559609 + 23008810562500 = 9333397^2 + 4796750^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121110122109 - 2⁴⁴ = 92528924077693 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110121110122409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060555061054 + 55060555061055.

It is an arithmetic number, because the mean of its divisors is an integer number (55060555061055).

Almost surely, 2^{110121110122109} is an apocalyptic number.

It is an amenable number.

110121110122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121110122109 is an equidigital number, since it uses as much as digits as its factorization.

110121110122109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 110121110122109 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred nine".