10001001012521 has 2 divisors, whose sum is σ = 10001001012522. Its totient is φ = 10001001012520.

The previous prime is 10001001012511. The next prime is 10001001012523. The reversal of 10001001012521 is 12521010010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7302619856896 + 2698381155625 = 2702336^2 + 1642675^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001012521 - 2²² = 10000996818217 is a prime.

Together with 10001001012523, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001001012496 and 10001001012505.

It is not a weakly prime, because it can be changed into another prime (10001001012523) 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 as a sum of consecutive naturals, namely, 5000500506260 + 5000500506261.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500506261).

Almost surely, 2^{10001001012521} is an apocalyptic number.

It is an amenable number.

10001001012521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001012521 is an equidigital number, since it uses as much as digits as its factorization.

10001001012521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 10001001012521 its reverse (12521010010001), we get a palindrome (22522011022522).

The spelling of 10001001012521 in words is "ten trillion, one billion, one million, twelve thousand, five hundred twenty-one".