10000001000001 has 8 divisors (see below), whose sum is σ = 13333413855424. Its totient is φ = 6666627738960.

The previous prime is 10000000999949. The next prime is 10000001000029. The reversal of 10000001000001 is 10000010000001.

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

It is not a de Polignac number, because 10000001000001 - 2¹⁵ = 10000000967233 is a prime.

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

It is a Duffinian number.

10000001000001 is a modest number, since divided by 1000001 gives 10 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10000001000001.

It is not an unprimeable number, because it can be changed into a prime (10000001000501) 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, 9304186 + ... + 10323171.

It is an arithmetic number, because the mean of its divisors is an integer number (1666676731928).

Almost surely, 2^{10000001000001} is an apocalyptic number.

It is an amenable number.

10000001000001 is a deficient number, since it is larger than the sum of its proper divisors (3333412855423).

10000001000001 is a wasteful number, since it uses less digits than its factorization.

10000001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19797191.

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

Adding to 10000001000001 its reverse (10000010000001), we get a palindrome (20000011000002).

Subtracting 10000001000001 from its reverse (10000010000001), we obtain a square (9000000 = 3000²).

The spelling of 10000001000001 in words is "ten trillion, one million, one", and thus it is an aban number and an uban number.