10008101 has 2 divisors, whose sum is σ = 10008102. Its totient is φ = 10008100.

The previous prime is 10008083. The next prime is 10008113. The reversal of 10008101 is 10180001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9150625 + 857476 = 3025^2 + 926^2 .

It is a cyclic number.

It is not a de Polignac number, because 10008101 - 2¹⁰ = 10007077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10808101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004050 + 5004051.

It is an arithmetic number, because the mean of its divisors is an integer number (5004051).

Almost surely, 2^10008101 is an apocalyptic number.

It is an amenable number.

10008101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008101 is an equidigital number, since it uses as much as digits as its factorization.

10008101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 10008101 is about 3163.5582814293. The cubic root of 10008101 is about 215.5016302186.

Adding to 10008101 its reverse (10180001), we get a palindrome (20188102).

The spelling of 10008101 in words is "ten million, eight thousand, one hundred one".