221013300200 has 288 divisors, whose sum is σ = 647941654080. Its totient is φ = 68627328000.

The previous prime is 221013300133. The next prime is 221013300223. The reversal of 221013300200 is 2003310122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47599079 + ... + 47603721.

It is an arithmetic number, because the mean of its divisors is an integer number (2249797410).

Almost surely, 2^221013300200 is an apocalyptic number.

221013300200 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 221013300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323970827040).

221013300200 is an abundant number, since it is smaller than the sum of its proper divisors (426928353880).

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

221013300200 is a wasteful number, since it uses less digits than its factorization.

221013300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 221013300200 its reverse (2003310122), we get a palindrome (223016610322).

The spelling of 221013300200 in words is "two hundred twenty-one billion, thirteen million, three hundred thousand, two hundred".