100221103306 has 32 divisors (see below), whose sum is σ = 164837805840. Its totient is φ = 45488357376.

The previous prime is 100221103291. The next prime is 100221103313. The reversal of 100221103306 is 603301122001.

It can be written as a sum of positive squares in 8 ways, for example, as 84977497081 + 15243606225 = 291509^2 + 123465^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886330 + ... + 992986.

Almost surely, 2^100221103306 is an apocalyptic number.

100221103306 is a deficient number, since it is larger than the sum of its proper divisors (64616702534).

100221103306 is a wasteful number, since it uses less digits than its factorization.

100221103306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107658.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100221103306 its reverse (603301122001), we get a palindrome (703522225307).

The spelling of 100221103306 in words is "one hundred billion, two hundred twenty-one million, one hundred three thousand, three hundred six".