100001000100001 has 96 divisors (see below), whose sum is σ = 142422848691200. Its totient is φ = 68134273891200.

The previous prime is 100001000099989. The next prime is 100001000100109.

100001000100001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100001000100001 - 2⁵ = 100001000099969 is a prime.

100001000100001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100001000100901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1901892730 + ... + 1901945308.

Almost surely, 2^{100001000100001} is an apocalyptic number.

100001000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001000100001 is a deficient number, since it is larger than the sum of its proper divisors (42421848591199).

100001000100001 is a wasteful number, since it uses less digits than its factorization.

100001000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61731 (or 61720 counting only the distinct ones).

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

It can be divided in two parts, 100001000 and 100001, that added together give a palindrome (100101001).

The spelling of 100001000100001 in words is "one hundred trillion, one billion, one hundred thousand, one".