204100200243200 has 672 divisors, whose sum is σ = 535198355112960. Its totient is φ = 77097310617600.

The previous prime is 204100200243193. The next prime is 204100200243239. The reversal of 204100200243200 is 2342002001402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66287819261 + ... + 66287822339.

It is an arithmetic number, because the mean of its divisors is an integer number (796426123680).

Almost surely, 2^{204100200243200} is an apocalyptic number.

204100200243200 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 204100200243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267599177556480).

204100200243200 is an abundant number, since it is smaller than the sum of its proper divisors (331098154869760).

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

204100200243200 is a wasteful number, since it uses less digits than its factorization.

204100200243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204100200243200 its reverse (2342002001402), we get a palindrome (206442202244602).

The spelling of 204100200243200 in words is "two hundred four trillion, one hundred billion, two hundred million, two hundred forty-three thousand, two hundred".