10006388101 has 2 divisors, whose sum is σ = 10006388102. Its totient is φ = 10006388100.

The previous prime is 10006388099. The next prime is 10006388111. The reversal of 10006388101 is 10188360001.

It is a happy number.

10006388101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8171979201 + 1834408900 = 90399^2 + 42830^2 .

It is an emirp because it is prime and its reverse (10188360001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10006388101 - 2¹ = 10006388099 is a prime.

Together with 10006388099, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10006388101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006388111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003194050 + 5003194051.

It is an arithmetic number, because the mean of its divisors is an integer number (5003194051).

Almost surely, 2^10006388101 is an apocalyptic number.

It is an amenable number.

10006388101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006388101 is an equidigital number, since it uses as much as digits as its factorization.

10006388101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10006388101 in words is "ten billion, six million, three hundred eighty-eight thousand, one hundred one".