100221333093 has 24 divisors (see below), whose sum is σ = 165466886208. Its totient is φ = 57261667392.

The previous prime is 100221333013. The next prime is 100221333109. The reversal of 100221333093 is 390333122001.

100221333093 is a `hidden beast` number, since 100 + 221 + 3 + 330 + 9 + 3 = 666.

It is not a de Polignac number, because 100221333093 - 2²⁶ = 100154224229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221333013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 385846 + ... + 591032.

It is an arithmetic number, because the mean of its divisors is an integer number (6894453592).

Almost surely, 2^100221333093 is an apocalyptic number.

It is an amenable number.

100221333093 is a deficient number, since it is larger than the sum of its proper divisors (65245553115).

100221333093 is a wasteful number, since it uses less digits than its factorization.

100221333093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212953 (or 212950 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 100221333093 its reverse (390333122001), we get a palindrome (490554455094).

The spelling of 100221333093 in words is "one hundred billion, two hundred twenty-one million, three hundred thirty-three thousand, ninety-three".