2110122202129 has 2 divisors, whose sum is σ = 2110122202130. Its totient is φ = 2110122202128.

The previous prime is 2110122202091. The next prime is 2110122202147. The reversal of 2110122202129 is 9212022210112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1715300993025 + 394821209104 = 1309695^2 + 628348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110122202129 - 2³⁹ = 1560366388241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110122202169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055061101064 + 1055061101065.

It is an arithmetic number, because the mean of its divisors is an integer number (1055061101065).

Almost surely, 2^{2110122202129} is an apocalyptic number.

It is an amenable number.

2110122202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110122202129 is an equidigital number, since it uses as much as digits as its factorization.

2110122202129 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 25.

The spelling of 2110122202129 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-nine".