10002120204829 has 2 divisors, whose sum is σ = 10002120204830. Its totient is φ = 10002120204828.

The previous prime is 10002120204821. The next prime is 10002120204863. The reversal of 10002120204829 is 92840202120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5872697923225 + 4129422281604 = 2423365^2 + 2032098^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120204829 - 2³ = 10002120204821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002120204829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002120204821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060102414 + 5001060102415.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060102415).

Almost surely, 2^{10002120204829} is an apocalyptic number.

It is an amenable number.

10002120204829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120204829 is an equidigital number, since it uses as much as digits as its factorization.

10002120204829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 10002120204829 in words is "ten trillion, two billion, one hundred twenty million, two hundred four thousand, eight hundred twenty-nine".