12100012129 has 2 divisors, whose sum is σ = 12100012130. Its totient is φ = 12100012128.

The previous prime is 12100012103. The next prime is 12100012139. The reversal of 12100012129 is 92121000121.

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., 12017202129 + 82810000 = 109623^2 + 9100^2 .

It is an emirp because it is prime and its reverse (92121000121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12100012129 - 2⁵ = 12100012097 is a prime.

It is a super-2 number, since 2×12100012129² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12100012139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050006064 + 6050006065.

It is an arithmetic number, because the mean of its divisors is an integer number (6050006065).

Almost surely, 2^12100012129 is an apocalyptic number.

It is an amenable number.

12100012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100012129 is an equidigital number, since it uses as much as digits as its factorization.

12100012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 12100012129 in words is "twelve billion, one hundred million, twelve thousand, one hundred twenty-nine".