10083838384001 has 2 divisors, whose sum is σ = 10083838384002. Its totient is φ = 10083838384000.

The previous prime is 10083838383923. The next prime is 10083838384033. The reversal of 10083838384001 is 10048383838001.

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., 9666036450625 + 417801933376 = 3109025^2 + 646376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10083838384001 - 2⁴² = 5685791872897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10083838383001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041919192000 + 5041919192001.

It is an arithmetic number, because the mean of its divisors is an integer number (5041919192001).

Almost surely, 2^{10083838384001} is an apocalyptic number.

It is an amenable number.

10083838384001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083838384001 is an equidigital number, since it uses as much as digits as its factorization.

10083838384001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 10083838384001 in words is "ten trillion, eighty-three billion, eight hundred thirty-eight million, three hundred eighty-four thousand, one".