10287001001 has 2 divisors, whose sum is σ = 10287001002. Its totient is φ = 10287001000.

The previous prime is 10287000973. The next prime is 10287001003. The reversal of 10287001001 is 10010078201.

10287001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7575091225 + 2711909776 = 87035^2 + 52076^2 .

It is an emirp because it is prime and its reverse (10010078201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10287001001 is a prime.

It is a Sophie Germain prime.

Together with 10287001003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10287001003) 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, 5143500500 + 5143500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500501).

Almost surely, 2^10287001001 is an apocalyptic number.

It is an amenable number.

10287001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10287001001 is an equidigital number, since it uses as much as digits as its factorization.

10287001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 10287001001 its reverse (10010078201), we get a palindrome (20297079202).

The spelling of 10287001001 in words is "ten billion, two hundred eighty-seven million, one thousand, one".