22122100109 has 2 divisors, whose sum is σ = 22122100110. Its totient is φ = 22122100108.

The previous prime is 22122100079. The next prime is 22122100111. The reversal of 22122100109 is 90100122122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11742973225 + 10379126884 = 108365^2 + 101878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22122100109 is a prime.

It is a Sophie Germain prime.

Together with 22122100111, 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 (22122100129) 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, 11061050054 + 11061050055.

It is an arithmetic number, because the mean of its divisors is an integer number (11061050055).

Almost surely, 2^22122100109 is an apocalyptic number.

It is an amenable number.

22122100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122100109 is an equidigital number, since it uses as much as digits as its factorization.

22122100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 22122100109 in words is "twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred nine".