100224221 has 8 divisors (see below), whose sum is σ = 105736320. Its totient is φ = 94735872.

The previous prime is 100224211. The next prime is 100224233. The reversal of 100224221 is 122422001.

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 100224221 - 2¹⁰ = 100223197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100224196 and 100224205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100224211) 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, 3101 + ... + 14493.

It is an arithmetic number, because the mean of its divisors is an integer number (13217040).

Almost surely, 2^100224221 is an apocalyptic number.

It is an amenable number.

100224221 is a deficient number, since it is larger than the sum of its proper divisors (5512099).

100224221 is a wasteful number, since it uses less digits than its factorization.

100224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 100224221 is about 10011.2047726535. The cubic root of 100224221 is about 464.5055382958.

Adding to 100224221 its reverse (122422001), we get a palindrome (222646222).

The spelling of 100224221 in words is "one hundred million, two hundred twenty-four thousand, two hundred twenty-one".