2002112129 has 2 divisors, whose sum is σ = 2002112130. Its totient is φ = 2002112128.

The previous prime is 2002112081. The next prime is 2002112141. The reversal of 2002112129 is 9212112002.

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., 1424911504 + 577200625 = 37748^2 + 24025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112129 - 2²⁰ = 2001063553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002112129.

It is not a weakly prime, because it can be changed into another prime (2002112149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056064 + 1001056065.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056065).

Almost surely, 2^2002112129 is an apocalyptic number.

It is an amenable number.

2002112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112129 is an equidigital number, since it uses as much as digits as its factorization.

2002112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2002112129 is about 44744.9676388306. The cubic root of 2002112129 is about 1260.3644131559.

The spelling of 2002112129 in words is "two billion, two million, one hundred twelve thousand, one hundred twenty-nine".