2121210212129 has 2 divisors, whose sum is σ = 2121210212130. Its totient is φ = 2121210212128.

The previous prime is 2121210212089. The next prime is 2121210212189. The reversal of 2121210212129 is 9212120121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1638668811025 + 482541401104 = 1280105^2 + 694652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121210212129 is a prime.

It is a super-3 number, since 3×2121210212129³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121210212098 and 2121210212107.

It is not a weakly prime, because it can be changed into another prime (2121210212189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605106064 + 1060605106065.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605106065).

Almost surely, 2^{2121210212129} is an apocalyptic number.

It is an amenable number.

2121210212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121210212129 is an equidigital number, since it uses as much as digits as its factorization.

2121210212129 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 26.

The spelling of 2121210212129 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-nine".