100013221 has 32 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 75556800.

The previous prime is 100013213. The next prime is 100013237. The reversal of 100013221 is 122310001.

It is not a de Polignac number, because 100013221 - 2³ = 100013213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013198 and 100013207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502480 + ... + 502678.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^100013221 is an apocalyptic number.

100013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100013221 is a deficient number, since it is larger than the sum of its proper divisors (28549979).

100013221 is a wasteful number, since it uses less digits than its factorization.

100013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100013221 is about 10000.6610281521. The cubic root of 100013221 is about 464.1793379419.

Adding to 100013221 its reverse (122310001), we get a palindrome (222323222).

The spelling of 100013221 in words is "one hundred million, thirteen thousand, two hundred twenty-one".