204100441220 has 48 divisors (see below), whose sum is σ = 466339622448. Its totient is φ = 74583244800.

The previous prime is 204100441211. The next prime is 204100441229. The reversal of 204100441220 is 22144001402.

It is an interprime number because it is at equal distance from previous prime (204100441211) and next prime (204100441229).

It can be written as a sum of positive squares in 8 ways, for example, as 75127520836 + 128972920384 = 274094^2 + 359128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204100441192 and 204100441201.

It is not an unprimeable number, because it can be changed into a prime (204100441229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4021181 + ... + 4071620.

It is an arithmetic number, because the mean of its divisors is an integer number (9715408801).

Almost surely, 2^204100441220 is an apocalyptic number.

204100441220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204100441220 is an abundant number, since it is smaller than the sum of its proper divisors (262239181228).

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

204100441220 is a wasteful number, since it uses less digits than its factorization.

204100441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092920 (or 8092918 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 204100441220 its reverse (22144001402), we get a palindrome (226244442622).

The spelling of 204100441220 in words is "two hundred four billion, one hundred million, four hundred forty-one thousand, two hundred twenty".