10100010001 has 4 divisors (see below), whose sum is σ = 10117950192. Its totient is φ = 10082069812.

The previous prime is 10100009993. The next prime is 10100010013. The reversal of 10100010001 is 10001000101.

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 cyclic number.

It is not a de Polignac number, because 10100010001 - 2³ = 10100009993 is a prime.

It is a Duffinian number.

10100010001 is a modest number, since divided by 10001 gives 101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10100010071) 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, 8969251 + ... + 8970376.

It is an arithmetic number, because the mean of its divisors is an integer number (2529487548).

Almost surely, 2^10100010001 is an apocalyptic number.

It is an amenable number.

10100010001 is a deficient number, since it is larger than the sum of its proper divisors (17940191).

10100010001 is an equidigital number, since it uses as much as digits as its factorization.

10100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17940190.

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

Adding to 10100010001 its reverse (10001000101), we get a palindrome (20101010102).

The spelling of 10100010001 in words is "ten billion, one hundred million, ten thousand, one".