10001003821 has 4 divisors (see below), whose sum is σ = 10006691200. Its totient is φ = 9995316444.

The previous prime is 10001003791. The next prime is 10001003827. The reversal of 10001003821 is 12830010001.

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 10001003821 - 2⁷ = 10001003693 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001003795 and 10001003804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001003827) 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, 2841051 + ... + 2844568.

It is an arithmetic number, because the mean of its divisors is an integer number (2501672800).

Almost surely, 2^10001003821 is an apocalyptic number.

It is an amenable number.

10001003821 is a deficient number, since it is larger than the sum of its proper divisors (5687379).

10001003821 is an equidigital number, since it uses as much as digits as its factorization.

10001003821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687378.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10001003821 its reverse (12830010001), we get a palindrome (22831013822).

The spelling of 10001003821 in words is "ten billion, one million, three thousand, eight hundred twenty-one".