10005010110561 has 64 divisors (see below), whose sum is σ = 13913122406400. Its totient is φ = 6388312207680.

The previous prime is 10005010110527. The next prime is 10005010110569. The reversal of 10005010110561 is 16501101050001.

It is a happy number.

It is not a de Polignac number, because 10005010110561 - 2³⁹ = 9455254296673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005010110569) 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 in 63 ways as a sum of consecutive naturals, for example, 7151543340 + ... + 7151544738.

It is an arithmetic number, because the mean of its divisors is an integer number (217392537600).

Almost surely, 2^{10005010110561} is an apocalyptic number.

It is an amenable number.

10005010110561 is a deficient number, since it is larger than the sum of its proper divisors (3908112295839).

10005010110561 is a wasteful number, since it uses less digits than its factorization.

10005010110561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10005010110561 its reverse (16501101050001), we get a palindrome (26506111160562).

The spelling of 10005010110561 in words is "ten trillion, five billion, ten million, one hundred ten thousand, five hundred sixty-one".