10100843343329 has 2 divisors, whose sum is σ = 10100843343330. Its totient is φ = 10100843343328.

The previous prime is 10100843343289. The next prime is 10100843343361. The reversal of 10100843343329 is 92334334800101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5409568919104 + 4691274424225 = 2325848^2 + 2165935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100843343329 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100843343379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050421671664 + 5050421671665.

It is an arithmetic number, because the mean of its divisors is an integer number (5050421671665).

Almost surely, 2^{10100843343329} is an apocalyptic number.

It is an amenable number.

10100843343329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100843343329 is an equidigital number, since it uses as much as digits as its factorization.

10100843343329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 10100843343329 in words is "ten trillion, one hundred billion, eight hundred forty-three million, three hundred forty-three thousand, three hundred twenty-nine".