100221210200 has 96 divisors (see below), whose sum is σ = 241468138800. Its totient is φ = 38638871040.

The previous prime is 100221210197. The next prime is 100221210227. The reversal of 100221210200 is 2012122001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3389882 + ... + 3419318.

Almost surely, 2^100221210200 is an apocalyptic number.

100221210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120734069400).

100221210200 is an abundant number, since it is smaller than the sum of its proper divisors (141246928600).

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

100221210200 is a wasteful number, since it uses less digits than its factorization.

100221210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30069 (or 30060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100221210200 its reverse (2012122001), we get a palindrome (102233332201).

The spelling of 100221210200 in words is "one hundred billion, two hundred twenty-one million, two hundred ten thousand, two hundred".