100010000001 has 16 divisors (see below), whose sum is σ = 136963612800. Its totient is φ = 64865202048.

The previous prime is 100009999967. The next prime is 100010000059. The reversal of 100010000001 is 100000010001.

It is not a de Polignac number, because 100010000001 - 2¹⁴ = 100009983617 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100010001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1331980 + ... + 1405058.

It is an arithmetic number, because the mean of its divisors is an integer number (8560225800).

Almost surely, 2^100010000001 is an apocalyptic number.

It is an amenable number.

100010000001 is a deficient number, since it is larger than the sum of its proper divisors (36953612799).

100010000001 is a wasteful number, since it uses less digits than its factorization.

100010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85448.

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

Adding to 100010000001 its reverse (100000010001), we get a palindrome (200010010002).

The spelling of 100010000001 in words is "one hundred billion, ten million, one", and thus it is an aban number.