100013103221 has 8 divisors (see below), whose sum is σ = 102676651224. Its totient is φ = 97360231680.

The previous prime is 100013103163. The next prime is 100013103259. The reversal of 100013103221 is 122301310001.

It can be written as a sum of positive squares in 4 ways, for example, as 9119295025 + 90893808196 = 95495^2 + 301486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100013103221 - 2³⁰ = 98939361397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013103196 and 100013103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013103521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2650130 + ... + 2687603.

It is an arithmetic number, because the mean of its divisors is an integer number (12834581403).

Almost surely, 2^100013103221 is an apocalyptic number.

It is an amenable number.

100013103221 is a deficient number, since it is larger than the sum of its proper divisors (2663548003).

100013103221 is an equidigital number, since it uses as much as digits as its factorization.

100013103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338231.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100013103221 its reverse (122301310001), we get a palindrome (222314413222).

The spelling of 100013103221 in words is "one hundred billion, thirteen million, one hundred three thousand, two hundred twenty-one".