122101111109 has 2 divisors, whose sum is σ = 122101111110. Its totient is φ = 122101111108.

The previous prime is 122101111079. The next prime is 122101111129. The reversal of 122101111109 is 901111101221.

It is an a-pointer prime, because the next prime (122101111129) can be obtained adding 122101111109 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97875122500 + 24225988609 = 312850^2 + 155647^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101111109 - 2⁸ = 122101110853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050555554 + 61050555555.

It is an arithmetic number, because the mean of its divisors is an integer number (61050555555).

Almost surely, 2^122101111109 is an apocalyptic number.

It is an amenable number.

122101111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101111109 is an equidigital number, since it uses as much as digits as its factorization.

122101111109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 122101111109 in words is "one hundred twenty-two billion, one hundred one million, one hundred eleven thousand, one hundred nine".