10000001 has 4 divisors (see below), whose sum is σ = 10909104. Its totient is φ = 9090900.

The previous prime is 9999991. The next prime is 10000019.

10000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10⁷+1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a sliding number, since 10000001 = 1 + 10000000 and 1/1 + 1/10000000 = 1.0000001.

It is a cyclic number.

It is not a de Polignac number, because 10000001 - 2⁶ = 9999937 is a prime.

10000001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9999946 and 10000000.

It is not an unprimeable number, because it can be changed into a prime (10003001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454535 + ... + 454556.

It is an arithmetic number, because the mean of its divisors is an integer number (2727276).

Almost surely, 2^10000001 is an apocalyptic number.

10000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000001 is a deficient number, since it is larger than the sum of its proper divisors (909103).

10000001 is an equidigital number, since it uses as much as digits as its factorization.

10000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909102.

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

The square root of 10000001 is about 3162.2778182823. The cubic root of 10000001 is about 215.4434761846.

It can be divided in two parts, 1000000 and 1, that added together give a palindrome (1000001).

The spelling of 10000001 in words is "ten million, one", and thus it is an aban number and an uban number.