204100422120 has 192 divisors, whose sum is σ = 797986800000. Its totient is φ = 44196171264.

The previous prime is 204100422109. The next prime is 204100422161. The reversal of 204100422120 is 21224001402.

204100422120 is a `hidden beast` number, since 2 + 0 + 410 + 0 + 42 + 212 + 0 = 666.

204100422120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204100422093 and 204100422102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083495 + ... + 2179254.

It is an arithmetic number, because the mean of its divisors is an integer number (4156181250).

Almost surely, 2^204100422120 is an apocalyptic number.

204100422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204100422120 is an abundant number, since it is smaller than the sum of its proper divisors (593886377880).

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

204100422120 is a wasteful number, since it uses less digits than its factorization.

204100422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262792 (or 4262785 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 204100422120 its reverse (21224001402), we get a palindrome (225324423522).

The spelling of 204100422120 in words is "two hundred four billion, one hundred million, four hundred twenty-two thousand, one hundred twenty".