10009838821 has 2 divisors, whose sum is σ = 10009838822. Its totient is φ = 10009838820.

The previous prime is 10009838819. The next prime is 10009838827. The reversal of 10009838821 is 12883890001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8908528225 + 1101310596 = 94385^2 + 33186^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009838821 - 2¹ = 10009838819 is a prime.

Together with 10009838819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10009838827) 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, 5004919410 + 5004919411.

It is an arithmetic number, because the mean of its divisors is an integer number (5004919411).

Almost surely, 2^10009838821 is an apocalyptic number.

It is an amenable number.

10009838821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009838821 is an equidigital number, since it uses as much as digits as its factorization.

10009838821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 10009838821 in words is "ten billion, nine million, eight hundred thirty-eight thousand, eight hundred twenty-one".