2560101001 has 2 divisors, whose sum is σ = 2560101002. Its totient is φ = 2560101000.

The previous prime is 2560100999. The next prime is 2560101007. The reversal of 2560101001 is 1001010652.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1801153600 + 758947401 = 42440^2 + 27549^2 .

It is a cyclic number.

It is not a de Polignac number, because 2560101001 - 2¹ = 2560100999 is a prime.

Together with 2560100999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2560101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280050500 + 1280050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1280050501).

Almost surely, 2^2560101001 is an apocalyptic number.

It is an amenable number.

2560101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2560101001 is an equidigital number, since it uses as much as digits as its factorization.

2560101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 2560101001 is about 50597.4406566182. The cubic root of 2560101001 is about 1367.9987476548.

Adding to 2560101001 its reverse (1001010652), we get a palindrome (3561111653).

The spelling of 2560101001 in words is "two billion, five hundred sixty million, one hundred one thousand, one".