10005210071 has 4 divisors (see below), whose sum is σ = 10275621192. Its totient is φ = 9734798952.

The previous prime is 10005210053. The next prime is 10005210139. The reversal of 10005210071 is 17001250001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10005210071 - 2¹⁴ = 10005193687 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135205505 + ... + 135205578.

It is an arithmetic number, because the mean of its divisors is an integer number (2568905298).

Almost surely, 2^10005210071 is an apocalyptic number.

10005210071 is a deficient number, since it is larger than the sum of its proper divisors (270411121).

10005210071 is an equidigital number, since it uses as much as digits as its factorization.

10005210071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270411120.

The product of its (nonzero) digits is 70, while the sum is 17.

Adding to 10005210071 its reverse (17001250001), we get a palindrome (27006460072).

The spelling of 10005210071 in words is "ten billion, five million, two hundred ten thousand, seventy-one".