201221322100 has 72 divisors (see below), whose sum is σ = 459721270400. Its totient is φ = 76237459200.

The previous prime is 201221322089. The next prime is 201221322109. The reversal of 201221322100 is 1223122102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18749536 + ... + 18760264.

Almost surely, 2^201221322100 is an apocalyptic number.

201221322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221322100 is an abundant number, since it is smaller than the sum of its proper divisors (258499948300).

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

201221322100 is a wasteful number, since it uses less digits than its factorization.

201221322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20633 (or 20626 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201221322100 its reverse (1223122102), we get a palindrome (202444444202).

The spelling of 201221322100 in words is "two hundred one billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred".