100100001 has 16 divisors (see below), whose sum is σ = 136892096. Its totient is φ = 65028096.

The previous prime is 100099981. The next prime is 100100051. The reversal of 100100001 is 100001001.

It is not a de Polignac number, because 100100001 - 2⁵ = 100099969 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100051) 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, 86241 + ... + 87393.

It is an arithmetic number, because the mean of its divisors is an integer number (8555756).

Almost surely, 2^100100001 is an apocalyptic number.

It is an amenable number.

100100001 is a deficient number, since it is larger than the sum of its proper divisors (36792095).

100100001 is a wasteful number, since it uses less digits than its factorization.

100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

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

The square root of 100100001 is about 10004.9988005996. The cubic root of 100100001 is about 464.3135529907.

Adding to 100100001 its reverse (100001001), we get a palindrome (200101002).

The spelling of 100100001 in words is "one hundred million, one hundred thousand, one".