100001000000001 has 32 divisors (see below), whose sum is σ = 133873302786048. Its totient is φ = 66398607705600.

The previous prime is 100000999999981. The next prime is 100001000000059. The reversal of 100001000000001 is 100000000100001.

It is not a de Polignac number, because 100001000000001 - 2⁶ = 100000999999937 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100001000000071) 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 31 ways as a sum of consecutive naturals, for example, 5434532401 + ... + 5434550801.

It is an arithmetic number, because the mean of its divisors is an integer number (4183540712064).

Almost surely, 2^{100001000000001} is an apocalyptic number.

It is an amenable number.

100001000000001 is a deficient number, since it is larger than the sum of its proper divisors (33872302786047).

100001000000001 is a wasteful number, since it uses less digits than its factorization.

100001000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26061.

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

Adding to 100001000000001 its reverse (100000000100001), we get a palindrome (200001000100002).

The spelling of 100001000000001 in words is "one hundred trillion, one billion, one", and thus it is an aban number.