100000001 has 4 divisors (see below), whose sum is σ = 105882372. Its totient is φ = 94117632.

The previous prime is 99999989. The next prime is 100000007.

100000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10⁸+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77862976 + 22137025 = 8824^2 + 4705^2 .

It is a sliding number, since 100000001 = 1 + 100000000 and 1/1 + 1/100000000 = 1.00000001.

It is a cyclic number.

It is not a de Polignac number, because 100000001 - 2²⁶ = 32891137 is a prime.

100000001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_100000000.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99999937 and 100000000.

It is not an unprimeable number, because it can be changed into a prime (100000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2941160 + ... + 2941193.

It is an arithmetic number, because the mean of its divisors is an integer number (26470593).

Almost surely, 2^100000001 is an apocalyptic number.

It is an amenable number.

100000001 is a deficient number, since it is larger than the sum of its proper divisors (5882371).

100000001 is an equidigital number, since it uses as much as digits as its factorization.

100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882370.

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 100000001 is about 10000.0000500000. Note that the first 4 decimals coincide. The cubic root of 100000001 is about 464.1588849085.

It can be divided in two parts, 10000000 and 1, that added together give a palindrome (10000001).

The spelling of 100000001 in words is "one hundred million, one", and thus it is an aban number.