10100003129 has 2 divisors, whose sum is σ = 10100003130. Its totient is φ = 10100003128.

The previous prime is 10100003107. The next prime is 10100003153. The reversal of 10100003129 is 92130000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9927133225 + 172869904 = 99635^2 + 13148^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100003129 - 2⁸ = 10100002873 is a prime.

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 (10100003189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001564 + 5050001565.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001565).

Almost surely, 2^10100003129 is an apocalyptic number.

It is an amenable number.

10100003129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100003129 is an equidigital number, since it uses as much as digits as its factorization.

10100003129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 10100003129 in words is "ten billion, one hundred million, three thousand, one hundred twenty-nine".