100221125 has 16 divisors (see below), whose sum is σ = 125938800. Its totient is φ = 79624000.

The previous prime is 100221101. The next prime is 100221131. The reversal of 100221125 is 521122001.

It can be written as a sum of positive squares in 8 ways, for example, as 62742241 + 37478884 = 7921^2 + 6122^2 .

It is not a de Polignac number, because 100221125 - 2¹⁰ = 100220101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15935 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (7871175).

Almost surely, 2^100221125 is an apocalyptic number.

It is an amenable number.

100221125 is a deficient number, since it is larger than the sum of its proper divisors (25717675).

100221125 is an equidigital number, since it uses as much as digits as its factorization.

100221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 100221125 is about 10011.0501447151. The cubic root of 100221125 is about 464.5007552738.

Adding to 100221125 its reverse (521122001), we get a palindrome (621343126).

The spelling of 100221125 in words is "one hundred million, two hundred twenty-one thousand, one hundred twenty-five".