100001100001 has 16 divisors (see below), whose sum is σ = 110195476416. Its totient is φ = 89991000000.

The previous prime is 100001099993. The next prime is 100001100053.

100001100001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100001100001 - 2³ = 100001099993 is a prime.

100001100001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_100001100000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10095151 + ... + 10105051.

It is an arithmetic number, because the mean of its divisors is an integer number (6887217276).

Almost surely, 2^100001100001 is an apocalyptic number.

100001100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001100001 is a deficient number, since it is larger than the sum of its proper divisors (10194376415).

100001100001 is a wasteful number, since it uses less digits than its factorization.

100001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104.

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

It can be divided in two parts, 100001 and 100001, that added together give a palindrome (200002).

The spelling of 100001100001 in words is "one hundred billion, one million, one hundred thousand, one".