10001001012071 has 2 divisors, whose sum is σ = 10001001012072. Its totient is φ = 10001001012070.

The previous prime is 10001001011977. The next prime is 10001001012139. The reversal of 10001001012071 is 17021010010001.

It is a strong prime.

It is an emirp because it is prime and its reverse (17021010010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001001012071 - 2¹⁰ = 10001001011047 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001001012371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500506035 + 5000500506036.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500506036).

Almost surely, 2^{10001001012071} is an apocalyptic number.

10001001012071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001012071 is an equidigital number, since it uses as much as digits as its factorization.

10001001012071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 10001001012071 its reverse (17021010010001), we get a palindrome (27022011022072).

The spelling of 10001001012071 in words is "ten trillion, one billion, one million, twelve thousand, seventy-one".