100221210 has 24 divisors (see below), whose sum is σ = 260575380. Its totient is φ = 26725632.

The previous prime is 100221193. The next prime is 100221211. The reversal of 100221210 is 12122001.

It can be written as a sum of positive squares in 2 ways, for example, as 100220121 + 1089 = 10011^2 + 33^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100221192 and 100221201.

It is not an unprimeable number, because it can be changed into a prime (100221211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 556695 + ... + 556874.

Almost surely, 2^100221210 is an apocalyptic number.

100221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221210 is an abundant number, since it is smaller than the sum of its proper divisors (160354170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221210 is a wasteful number, since it uses less digits than its factorization.

100221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113582 (or 1113579 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100221210 is about 10011.0543900231. The cubic root of 100221210 is about 464.5008865920.

Adding to 100221210 its reverse (12122001), we get a palindrome (112343211).

The spelling of 100221210 in words is "one hundred million, two hundred twenty-one thousand, two hundred ten".