221052100 has 18 divisors (see below), whose sum is σ = 479683274. Its totient is φ = 88420800.

The previous prime is 221052089. The next prime is 221052101. The reversal of 221052100 is 1250122.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 220879044 = 416^2 + 14862^2 .

It is not an unprimeable number, because it can be changed into a prime (221052101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105161 + ... + 1105360.

Almost surely, 2^221052100 is an apocalyptic number.

221052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221052100 is an abundant number, since it is smaller than the sum of its proper divisors (258631174).

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

221052100 is a wasteful number, since it uses less digits than its factorization.

221052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210535 (or 2210528 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 221052100 is about 14867.8209566836. The cubic root of 221052100 is about 604.6418662244.

The spelling of 221052100 in words is "two hundred twenty-one million, fifty-two thousand, one hundred".