12211121102129 has 2 divisors, whose sum is σ = 12211121102130. Its totient is φ = 12211121102128.

The previous prime is 12211121102071. The next prime is 12211121102153. The reversal of 12211121102129 is 92120112111221.

12211121102129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11705567395600 + 505553706529 = 3421340^2 + 711023^2 .

It is an emirp because it is prime and its reverse (92120112111221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12211121102129 - 2⁸ = 12211121101873 is a prime.

It is a super-2 number, since 2×12211121102129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211121102098 and 12211121102107.

It is not a weakly prime, because it can be changed into another prime (12211121102189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105560551064 + 6105560551065.

It is an arithmetic number, because the mean of its divisors is an integer number (6105560551065).

Almost surely, 2^{12211121102129} is an apocalyptic number.

It is an amenable number.

12211121102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211121102129 is an equidigital number, since it uses as much as digits as its factorization.

12211121102129 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 26.

The spelling of 12211121102129 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-nine".