100001000001 has 8 divisors (see below), whose sum is σ = 152382476224. Its totient is φ = 57143428560.

The previous prime is 100000999991. The next prime is 100001000009. The reversal of 100001000001 is 100000100001.

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

It is not a de Polignac number, because 100001000001 - 2⁷ = 100000999873 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100001000001.

It is not an unprimeable number, because it can be changed into a prime (100001000009) 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, 2380976170 + ... + 2380976211.

It is an arithmetic number, because the mean of its divisors is an integer number (19047809528).

Almost surely, 2^100001000001 is an apocalyptic number.

It is an amenable number.

100001000001 is a deficient number, since it is larger than the sum of its proper divisors (52381476223).

100001000001 is an equidigital number, since it uses as much as digits as its factorization.

100001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761952391.

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

Adding to 100001000001 its reverse (100000100001), we get a palindrome (200001100002).

It can be divided in two parts, 10000100000 and 1, that added together give a palindrome (10000100001).

The spelling of 100001000001 in words is "one hundred billion, one million, one", and thus it is an aban number.