221313100200 has 96 divisors (see below), whose sum is σ = 696310596960. Its totient is φ = 58135968000.

The previous prime is 221313100199. The next prime is 221313100201. The reversal of 221313100200 is 2001313122.

221313100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221313100199) and next prime (221313100201).

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 221313100200.

It is not an unprimeable number, because it can be changed into a prime (221313100201) by changing a digit.

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, 2712451 + ... + 2792850.

It is an arithmetic number, because the mean of its divisors is an integer number (7253235385).

Almost surely, 2^221313100200 is an apocalyptic number.

221313100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313100200 is an abundant number, since it is smaller than the sum of its proper divisors (474997496760).

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

221313100200 is a wasteful number, since it uses less digits than its factorization.

221313100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505387 (or 5505378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221313100200 its reverse (2001313122), we get a palindrome (223314413322).

The spelling of 221313100200 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred thousand, two hundred".