10584315101 has 2 divisors, whose sum is σ = 10584315102. Its totient is φ = 10584315100.

The previous prime is 10584315067. The next prime is 10584315149. The reversal of 10584315101 is 10151348501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9550371076 + 1033944025 = 97726^2 + 32155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10584315101 is a prime.

It is a super-2 number, since 2×10584315101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10584315601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292157550 + 5292157551.

It is an arithmetic number, because the mean of its divisors is an integer number (5292157551).

Almost surely, 2^10584315101 is an apocalyptic number.

It is an amenable number.

10584315101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584315101 is an equidigital number, since it uses as much as digits as its factorization.

10584315101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

The spelling of 10584315101 in words is "ten billion, five hundred eighty-four million, three hundred fifteen thousand, one hundred one".