204221100 has 72 divisors (see below), whose sum is σ = 594336960. Its totient is φ = 54140480.

The previous prime is 204221089. The next prime is 204221111. The reversal of 204221100 is 1122402.

It is an interprime number because it is at equal distance from previous prime (204221089) and next prime (204221111).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51799 + ... + 55601.

It is an arithmetic number, because the mean of its divisors is an integer number (8254680).

Almost surely, 2^204221100 is an apocalyptic number.

204221100 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 204221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297168480).

204221100 is an abundant number, since it is smaller than the sum of its proper divisors (390115860).

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

204221100 is a wasteful number, since it uses less digits than its factorization.

204221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 204221100 is about 14290.5948091743. The cubic root of 204221100 is about 588.8891287264.

Adding to 204221100 its reverse (1122402), we get a palindrome (205343502).

The spelling of 204221100 in words is "two hundred four million, two hundred twenty-one thousand, one hundred".