10001610001 has 2 divisors, whose sum is σ = 10001610002. Its totient is φ = 10001610000.

The previous prime is 10001609993. The next prime is 10001610023.

10001610001 is nontrivially palindromic in base 10.

10001610001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5401515025 + 4600094976 = 73495^2 + 67824^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10001610001 - 2³ = 10001609993 is a prime.

It is a super-2 number, since 2×10001610001² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10001610001.

It is not a weakly prime, because it can be changed into another prime (10001610041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000805000 + 5000805001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000805001).

Almost surely, 2^10001610001 is an apocalyptic number.

It is an amenable number.

10001610001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001610001 is an equidigital number, since it uses as much as digits as its factorization.

10001610001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The spelling of 10001610001 in words is "ten billion, one million, six hundred ten thousand, one".