204121102024 has 192 divisors, whose sum is σ = 481372113600. Its totient is φ = 80636774400.

The previous prime is 204121102021. The next prime is 204121102093. The reversal of 204121102024 is 420201121402.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 204121101992 and 204121102010.

It is not an unprimeable number, because it can be changed into a prime (204121102021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159096087 + ... + 159097369.

It is an arithmetic number, because the mean of its divisors is an integer number (2507146425).

Almost surely, 2^204121102024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204121102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240686056800).

204121102024 is an abundant number, since it is smaller than the sum of its proper divisors (277251011576).

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

204121102024 is a wasteful number, since it uses less digits than its factorization.

204121102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 204121102024 its reverse (420201121402), we get a palindrome (624322223426).

The spelling of 204121102024 in words is "two hundred four billion, one hundred twenty-one million, one hundred two thousand, twenty-four".