10122112109 has 2 divisors, whose sum is σ = 10122112110. Its totient is φ = 10122112108.

The previous prime is 10122111991. The next prime is 10122112111. The reversal of 10122112109 is 90121122101.

10122112109 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10062096100 + 60016009 = 100310^2 + 7747^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122112109 - 2²⁴ = 10105334893 is a prime.

It is a Sophie Germain prime.

Together with 10122112111, it forms a pair of twin primes.

It is a Chen 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 (10122112139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061056054 + 5061056055.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056055).

Almost surely, 2^10122112109 is an apocalyptic number.

It is an amenable number.

10122112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122112109 is an equidigital number, since it uses as much as digits as its factorization.

10122112109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10122112109 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred nine".