100001010000001 has 16 divisors (see below), whose sum is σ = 110181023424000. Its totient is φ = 90002643984000.

The previous prime is 100001009999983. The next prime is 100001010000013. The reversal of 100001010000001 is 100000010100001.

It is not a de Polignac number, because 100001010000001 - 2³⁹ = 99451254186113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001010000701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10159600 + ... + 17413198.

It is an arithmetic number, because the mean of its divisors is an integer number (6886313964000).

Almost surely, 2^{100001010000001} is an apocalyptic number.

100001010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001010000001 is a deficient number, since it is larger than the sum of its proper divisors (10180013423999).

100001010000001 is a wasteful number, since it uses less digits than its factorization.

100001010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266120.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100001010000001 its reverse (100000010100001), we get a palindrome (200001020100002).

It can be divided in two parts, 1000010 and 10000001, that added together give a palindrome (11000011).

The spelling of 100001010000001 in words is "one hundred trillion, one billion, ten million, one", and thus it is an aban number.