2122312117129 has 2 divisors, whose sum is σ = 2122312117130. Its totient is φ = 2122312117128.

The previous prime is 2122312117111. The next prime is 2122312117141. The reversal of 2122312117129 is 9217112132212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1860899765904 + 261412351225 = 1364148^2 + 511285^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122312117129 - 2¹¹ = 2122312115081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122312117094 and 2122312117103.

It is not a weakly prime, because it can be changed into another prime (2122312117229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061156058564 + 1061156058565.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156058565).

Almost surely, 2^{2122312117129} is an apocalyptic number.

It is an amenable number.

2122312117129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122312117129 is an equidigital number, since it uses as much as digits as its factorization.

2122312117129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 34.

The spelling of 2122312117129 in words is "two trillion, one hundred twenty-two billion, three hundred twelve million, one hundred seventeen thousand, one hundred twenty-nine".