10000001010071 has 2 divisors, whose sum is σ = 10000001010072. Its totient is φ = 10000001010070.

The previous prime is 10000001010011. The next prime is 10000001010107. The reversal of 10000001010071 is 17001010000001.

Together with next prime (10000001010107) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10000001010071 - 2³⁰ = 9998927268247 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001010011) 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, 5000000505035 + 5000000505036.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000505036).

Almost surely, 2^{10000001010071} is an apocalyptic number.

10000001010071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001010071 is an equidigital number, since it uses as much as digits as its factorization.

10000001010071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 10000001010071 its reverse (17001010000001), we get a palindrome (27001011010072).

The spelling of 10000001010071 in words is "ten trillion, one million, ten thousand, seventy-one".