100000100001 has 4 divisors (see below), whose sum is σ = 133333466672. Its totient is φ = 66666733332.

The previous prime is 100000099963. The next prime is 100000100009. The reversal of 100000100001 is 100001000001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 100000100001 - 2¹⁰ = 100000098977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3), and also a Moran number because the ratio is a prime number: 33333366667 = 100000100001 / (1 + 0 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

100000100001 is a modest number, since divided by 100001 gives 10 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100000100009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16666683331 + ... + 16666683336.

It is an arithmetic number, because the mean of its divisors is an integer number (33333366668).

Almost surely, 2^100000100001 is an apocalyptic number.

It is an amenable number.

100000100001 is a deficient number, since it is larger than the sum of its proper divisors (33333366671).

100000100001 is an equidigital number, since it uses as much as digits as its factorization.

100000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33333366670.

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

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

The spelling of 100000100001 in words is "one hundred billion, one hundred thousand, one".