221101200 has 90 divisors (see below), whose sum is σ = 767295074. Its totient is φ = 58959360.

The previous prime is 221101183. The next prime is 221101211. The reversal of 221101200 is 2101122.

221101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5363856 + 215737344 = 2316^2 + 14688^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27109 + ... + 34308.

Almost surely, 2^221101200 is an apocalyptic number.

221101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101200 is an abundant number, since it is smaller than the sum of its proper divisors (546193874).

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

221101200 is a wasteful number, since it uses less digits than its factorization.

221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61441 (or 61427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 221101200 is about 14869.4720820882. The cubic root of 221101200 is about 604.6866305097.

Adding to 221101200 its reverse (2101122), we get a palindrome (223202322).

The spelling of 221101200 in words is "two hundred twenty-one million, one hundred one thousand, two hundred".