10001000001 has 16 divisors (see below), whose sum is σ = 14394245760. Its totient is φ = 6157536000.

The previous prime is 10000999997. The next prime is 10001000011. The reversal of 10001000001 is 10000010001.

It is not a de Polignac number, because 10001000001 - 2² = 10000999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a self number, because there is not a number n which added to its sum of digits gives 10001000001.

It is not an unprimeable number, because it can be changed into a prime (10001000011) 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 in 15 ways as a sum of consecutive naturals, for example, 2497000 + ... + 2501001.

It is an arithmetic number, because the mean of its divisors is an integer number (899640360).

Almost surely, 2^10001000001 is an apocalyptic number.

It is an amenable number.

10001000001 is a deficient number, since it is larger than the sum of its proper divisors (4393245759).

10001000001 is a wasteful number, since it uses less digits than its factorization.

10001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998056.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10001000001 its reverse (10000010001), we get a palindrome (20001010002).

It can be divided in two parts, 1000 and 1000001, that added together give a palindrome (1001001).

The spelling of 10001000001 in words is "ten billion, one million, one", and thus it is an aban number and an uban number.