12122102100029 has 2 divisors, whose sum is σ = 12122102100030. Its totient is φ = 12122102100028.

The previous prime is 12122102100019. The next prime is 12122102100041. The reversal of 12122102100029 is 92000120122121.

12122102100029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10890013200004 + 1232088900025 = 3300002^2 + 1109995^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122102100029 - 2⁴ = 12122102100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122102099977 and 12122102100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122102100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061051050014 + 6061051050015.

It is an arithmetic number, because the mean of its divisors is an integer number (6061051050015).

Almost surely, 2^{12122102100029} is an apocalyptic number.

It is an amenable number.

12122102100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122102100029 is an equidigital number, since it uses as much as digits as its factorization.

12122102100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12122102100029 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand, twenty-nine".