12112101202129 has 2 divisors, whose sum is σ = 12112101202130. Its totient is φ = 12112101202128.

The previous prime is 12112101202111. The next prime is 12112101202169. The reversal of 12112101202129 is 92120210121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11918734331904 + 193366870225 = 3452352^2 + 439735^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112101202129 - 2¹⁵ = 12112101169361 is a prime.

It is a super-2 number, since 2×12112101202129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12112101202169) 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, 6056050601064 + 6056050601065.

It is an arithmetic number, because the mean of its divisors is an integer number (6056050601065).

Almost surely, 2^{12112101202129} is an apocalyptic number.

It is an amenable number.

12112101202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112101202129 is an equidigital number, since it uses as much as digits as its factorization.

12112101202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 12112101202129 in words is "twelve trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, one hundred twenty-nine".