100221010313 has 8 divisors (see below), whose sum is σ = 104634325248. Its totient is φ = 95812352064.

The previous prime is 100221010291. The next prime is 100221010349. The reversal of 100221010313 is 313010122001.

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 100221010313 - 2¹⁶ = 100220944777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221012313) 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 7 ways as a sum of consecutive naturals, for example, 1120145 + ... + 1206302.

It is an arithmetic number, because the mean of its divisors is an integer number (13079290656).

Almost surely, 2^100221010313 is an apocalyptic number.

It is an amenable number.

100221010313 is a deficient number, since it is larger than the sum of its proper divisors (4413314935).

100221010313 is a wasteful number, since it uses less digits than its factorization.

100221010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328343.

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

Adding to 100221010313 its reverse (313010122001), we get a palindrome (413231132314).

The spelling of 100221010313 in words is "one hundred billion, two hundred twenty-one million, ten thousand, three hundred thirteen".