221300113104 has 360 divisors, whose sum is σ = 784608888960. Its totient is φ = 56920190976.

The previous prime is 221300113093. The next prime is 221300113159. The reversal of 221300113104 is 401311003122.

221300113104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6683662 + ... + 6716690.

It is an arithmetic number, because the mean of its divisors is an integer number (2179469136).

Almost surely, 2^221300113104 is an apocalyptic number.

221300113104 is a gapful number since it is divisible by the number (24) 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 221300113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392304444480).

221300113104 is an abundant number, since it is smaller than the sum of its proper divisors (563308775856).

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

221300113104 is a wasteful number, since it uses less digits than its factorization.

221300113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33107 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221300113104 its reverse (401311003122), we get a palindrome (622611116226).

The spelling of 221300113104 in words is "two hundred twenty-one billion, three hundred million, one hundred thirteen thousand, one hundred four".