221231201100 has 288 divisors, whose sum is σ = 790039434240. Its totient is φ = 46545269760.

The previous prime is 221231201099. The next prime is 221231201153. The reversal of 221231201100 is 1102132122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221231201100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9789414 + ... + 9811986.

It is an arithmetic number, because the mean of its divisors is an integer number (2743192480).

Almost surely, 2^221231201100 is an apocalyptic number.

221231201100 is a gapful number since it is divisible by the number (20) 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 221231201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395019717120).

221231201100 is an abundant number, since it is smaller than the sum of its proper divisors (568808233140).

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

221231201100 is a wasteful number, since it uses less digits than its factorization.

221231201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22969 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221231201100 its reverse (1102132122), we get a palindrome (222333333222).

The spelling of 221231201100 in words is "two hundred twenty-one billion, two hundred thirty-one million, two hundred one thousand, one hundred".