12122110202129 has 2 divisors, whose sum is σ = 12122110202130. Its totient is φ = 12122110202128.

The previous prime is 12122110202107. The next prime is 12122110202131. The reversal of 12122110202129 is 92120201122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11409397728400 + 712712473729 = 3377780^2 + 844223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12122110202129 is a prime.

It is a super-2 number, since 2×12122110202129² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 12122110202131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122110202098 and 12122110202107.

It is not a weakly prime, because it can be changed into another prime (12122110202149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061055101064 + 6061055101065.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055101065).

Almost surely, 2^{12122110202129} is an apocalyptic number.

It is an amenable number.

12122110202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122110202129 is an equidigital number, since it uses as much as digits as its factorization.

12122110202129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12122110202129 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred two thousand, one hundred twenty-nine".