221300100 has 216 divisors, whose sum is σ = 822739008. Its totient is φ = 50544000.

The previous prime is 221300063. The next prime is 221300137. The reversal of 221300100 is 1003122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221300063) and next prime (221300137).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169450 + ... + 170750.

Almost surely, 2^221300100 is an apocalyptic number.

221300100 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 221300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411369504).

221300100 is an abundant number, since it is smaller than the sum of its proper divisors (601438908).

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

221300100 is a wasteful number, since it uses less digits than its factorization.

221300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 221300100 is about 14876.1587783944. The cubic root of 221300100 is about 604.8678991229.

Adding to 221300100 its reverse (1003122), we get a palindrome (222303222).

The spelling of 221300100 in words is "two hundred twenty-one million, three hundred thousand, one hundred".