122112201112129 has 2 divisors, whose sum is σ = 122112201112130. Its totient is φ = 122112201112128.

The previous prime is 122112201112091. The next prime is 122112201112133. The reversal of 122112201112129 is 921211102211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69747468735025 + 52364732377104 = 8351495^2 + 7236348^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112201112129 - 2⁷ = 122112201112001 is a prime.

It is a super-2 number, since 2×122112201112129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112201112097 and 122112201112106.

It is not a weakly prime, because it can be changed into another prime (122112201112229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056100556064 + 61056100556065.

It is an arithmetic number, because the mean of its divisors is an integer number (61056100556065).

Almost surely, 2^{122112201112129} is an apocalyptic number.

It is an amenable number.

122112201112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112201112129 is an equidigital number, since it uses as much as digits as its factorization.

122112201112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 122112201112129 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred twelve thousand, one hundred twenty-nine".