2112113114129 has 2 divisors, whose sum is σ = 2112113114130. Its totient is φ = 2112113114128.

The previous prime is 2112113114119. The next prime is 2112113114141. The reversal of 2112113114129 is 9214113112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1914492857104 + 197620257025 = 1383652^2 + 444545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112113114129 is a prime.

It is a super-3 number, since 3×2112113114129³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2112113114119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056056557064 + 1056056557065.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056557065).

Almost surely, 2^{2112113114129} is an apocalyptic number.

It is an amenable number.

2112113114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112113114129 is an equidigital number, since it uses as much as digits as its factorization.

2112113114129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 29.

The spelling of 2112113114129 in words is "two trillion, one hundred twelve billion, one hundred thirteen million, one hundred fourteen thousand, one hundred twenty-nine".