100100000100001 has 16 divisors (see below), whose sum is σ = 110475004723200. Its totient is φ = 89940663184000.

The previous prime is 100100000099969. The next prime is 100100000100011. The reversal of 100100000100001 is 100001000001001.

It is a cyclic number.

It is not a de Polignac number, because 100100000100001 - 2⁵ = 100100000099969 is a prime.

It is a Duffinian number.

100100000100001 is a modest number, since divided by 100001 gives 10010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100100000100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78540961 + ... + 79805278.

It is an arithmetic number, because the mean of its divisors is an integer number (6904687795200).

Almost surely, 2^{100100000100001} is an apocalyptic number.

100100000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100000100001 is a deficient number, since it is larger than the sum of its proper divisors (10375004623199).

100100000100001 is a wasteful number, since it uses less digits than its factorization.

100100000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158346920.

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

Adding to 100100000100001 its reverse (100001000001001), we get a palindrome (200101000101002).

The spelling of 100100000100001 in words is "one hundred trillion, one hundred billion, one hundred thousand, one".