10100103329 has 2 divisors, whose sum is σ = 10100103330. Its totient is φ = 10100103328.

The previous prime is 10100103319. The next prime is 10100103347. The reversal of 10100103329 is 92330100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7080381025 + 3019722304 = 84145^2 + 54952^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100103329 - 2²⁰ = 10099054753 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100103329.

It is not a weakly prime, because it can be changed into another prime (10100103319) 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, 5050051664 + 5050051665.

It is an arithmetic number, because the mean of its divisors is an integer number (5050051665).

Almost surely, 2^10100103329 is an apocalyptic number.

It is an amenable number.

10100103329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100103329 is an equidigital number, since it uses as much as digits as its factorization.

10100103329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 10100103329 in words is "ten billion, one hundred million, one hundred three thousand, three hundred twenty-nine".