10200109968329 has 2 divisors, whose sum is σ = 10200109968330. Its totient is φ = 10200109968328.

The previous prime is 10200109968287. The next prime is 10200109968371. The reversal of 10200109968329 is 92386990100201.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10200109968287) and next prime (10200109968371).

It can be written as a sum of positive squares in only one way, i.e., 8188954873225 + 2011155095104 = 2861635^2 + 1418152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200109968329 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200100968329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100054984164 + 5100054984165.

It is an arithmetic number, because the mean of its divisors is an integer number (5100054984165).

Almost surely, 2^{10200109968329} is an apocalyptic number.

It is an amenable number.

10200109968329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200109968329 is an equidigital number, since it uses as much as digits as its factorization.

10200109968329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 50.

The spelling of 10200109968329 in words is "ten trillion, two hundred billion, one hundred nine million, nine hundred sixty-eight thousand, three hundred twenty-nine".