122112102109 has 2 divisors, whose sum is σ = 122112102110. Its totient is φ = 122112102108.

The previous prime is 122112102083. The next prime is 122112102143. The reversal of 122112102109 is 901201211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118339440025 + 3772662084 = 344005^2 + 61422^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112102109 - 2³¹ = 119964618461 is a prime.

It is a super-2 number, since 2×122112102109² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112102109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112102169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056051054 + 61056051055.

It is an arithmetic number, because the mean of its divisors is an integer number (61056051055).

Almost surely, 2^122112102109 is an apocalyptic number.

It is an amenable number.

122112102109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112102109 is an equidigital number, since it uses as much as digits as its factorization.

122112102109 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 22.

The spelling of 122112102109 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, one hundred nine".