10005110001 has 6 divisors (see below), whose sum is σ = 14451825570. Its totient is φ = 6670073328.

The previous prime is 10005109987. The next prime is 10005110021. The reversal of 10005110001 is 10001150001.

10005110001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5487253776 + 4517856225 = 74076^2 + 67215^2 .

It is not a de Polignac number, because 10005110001 - 2⁹ = 10005109489 is a prime.

It is a super-2 number, since 2×10005110001² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111678889 = 10005110001 / (1 + 0 + 0 + 0 + 5 + 1 + 1 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10005110021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555839436 + ... + 555839453.

It is an arithmetic number, because the mean of its divisors is an integer number (2408637595).

Almost surely, 2^10005110001 is an apocalyptic number.

It is an amenable number.

10005110001 is a deficient number, since it is larger than the sum of its proper divisors (4446715569).

10005110001 is a wasteful number, since it uses less digits than its factorization.

10005110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111678895 (or 1111678892 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 10005110001 its reverse (10001150001), we get a palindrome (20006260002).

The spelling of 10005110001 in words is "ten billion, five million, one hundred ten thousand, one".