100010001 has 32 divisors (see below), whose sum is σ = 168571648. Its totient is φ = 51321600.

The previous prime is 100009979. The next prime is 100010017.

100010001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100010001 - 2⁵ = 100009969 is a prime.

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

100010001 is a strobogrammatic number because it is the same when read upside-down.

It is the 10001-st Hogben number.

100010001 is a modest number, since divided by 10001 gives 1 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100010021) by changing a digit.

It is a nontrivial repunit in base 10000.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5151 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (5267864).

Almost surely, 2^100010001 is an apocalyptic number.

It is an amenable number.

100010001 is a deficient number, since it is larger than the sum of its proper divisors (68561647).

100010001 is a wasteful number, since it uses less digits than its factorization.

100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961.

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

The square root of 100010001 is about 10000.5000374981. The cubic root of 100010001 is about 464.1743563554.

The spelling of 100010001 in words is "one hundred million, ten thousand, one".