100003320021 has 32 divisors (see below), whose sum is σ = 149424276096. Its totient is φ = 58956768000.

The previous prime is 100003319993. The next prime is 100003320031. The reversal of 100003320021 is 120023300001.

It is a happy number.

It is not a de Polignac number, because 100003320021 - 2¹³ = 100003311829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100003319979 and 100003320006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9202131 + ... + 9212991.

It is an arithmetic number, because the mean of its divisors is an integer number (4669508628).

Almost surely, 2^100003320021 is an apocalyptic number.

100003320021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100003320021 is a deficient number, since it is larger than the sum of its proper divisors (49420956075).

100003320021 is a wasteful number, since it uses less digits than its factorization.

100003320021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18453.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100003320021 its reverse (120023300001), we get a palindrome (220026620022).

It can be divided in two parts, 100003 and 320021, that added together give a palindrome (420024).

The spelling of 100003320021 in words is "one hundred billion, three million, three hundred twenty thousand, twenty-one".