10004141129 has 2 divisors, whose sum is σ = 10004141130. Its totient is φ = 10004141128.

The previous prime is 10004141071. The next prime is 10004141131. The reversal of 10004141129 is 92114140001.

10004141129 is digitally balanced in base 3, 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., 8972446729 + 1031694400 = 94723^2 + 32120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004141129 - 2⁸ = 10004140873 is a prime.

Together with 10004141131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10004141429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002070564 + 5002070565.

It is an arithmetic number, because the mean of its divisors is an integer number (5002070565).

Almost surely, 2^10004141129 is an apocalyptic number.

It is an amenable number.

10004141129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004141129 is an equidigital number, since it uses as much as digits as its factorization.

10004141129 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 23.

The spelling of 10004141129 in words is "ten billion, four million, one hundred forty-one thousand, one hundred twenty-nine".