10000000001 has 8 divisors (see below), whose sum is σ = 10102223208. Its totient is φ = 9897840000.

The previous prime is 9999999967. The next prime is 10000000019.

10000000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10¹⁰+1.

It can be written as a sum of positive squares in 4 ways, for example, as 2334822400 + 7665177601 = 48320^2 + 87551^2 .

It is a sliding number, since 10000000001 = 1 + 10000000000 and 1/1 + 1/10000000000 = 1.0000000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000000001 is a prime.

10000000001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_10000000000.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9999999919 and 10000000000.

It is not an unprimeable number, because it can be changed into a prime (10000000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343661 + ... + 371621.

It is an arithmetic number, because the mean of its divisors is an integer number (1262777901).

Almost surely, 2^10000000001 is an apocalyptic number.

It is an amenable number.

10000000001 is a deficient number, since it is larger than the sum of its proper divisors (102223207).

10000000001 is a wasteful number, since it uses less digits than its factorization.

10000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31603.

The product of its (nonzero) digits is 1, while the sum is 2.

It can be divided in two parts, 1000000000 and 1, that added together give a palindrome (1000000001).

The spelling of 10000000001 in words is "ten billion, one", and thus it is an aban number and an uban number.