100300221 has 128 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 48522240.

The previous prime is 100300219. The next prime is 100300223. The reversal of 100300221 is 122003001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100300219) and next prime (100300223).

It is not a de Polignac number, because 100300221 - 2¹ = 100300219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300223) 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 127 ways as a sum of consecutive naturals, for example, 1892431 + ... + 1892483.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2^100300221 is an apocalyptic number.

It is an amenable number.

100300221 is a deficient number, since it is larger than the sum of its proper divisors (98765379).

100300221 is a wasteful number, since it uses less digits than its factorization.

100300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100300221 is about 10014.9998002995. Note that the first 3 decimals coincide. The cubic root of 100300221 is about 464.6229201058.

Adding to 100300221 its reverse (122003001), we get a palindrome (222303222).

The spelling of 100300221 in words is "one hundred million, three hundred thousand, two hundred twenty-one".