221300103013200 has 840 divisors, whose sum is σ = 852857667946080. Its totient is φ = 54990795801600.

The previous prime is 221300103013159. The next prime is 221300103013267. The reversal of 221300103013200 is 2310301003122.

221300103013200 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 0 + 10 + 301 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 337636999 + ... + 338291801.

Almost surely, 2^{221300103013200} is an apocalyptic number.

221300103013200 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 221300103013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426428833973040).

221300103013200 is an abundant number, since it is smaller than the sum of its proper divisors (631557564932880).

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

221300103013200 is a wasteful number, since it uses less digits than its factorization.

221300103013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654919 (or 654893 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221300103013200 its reverse (2310301003122), we get a palindrome (223610404016322).

The spelling of 221300103013200 in words is "two hundred twenty-one trillion, three hundred billion, one hundred three million, thirteen thousand, two hundred".