204122414210300 has 72 divisors (see below), whose sum is σ = 469010461159296. Its totient is φ = 76844578498560.

The previous prime is 204122414210279. The next prime is 204122414210399. The reversal of 204122414210300 is 3012414221402.

It is a super-3 number, since 3×204122414210300³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204122414210300.

It is a congruent number.

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, 87508949 + ... + 89811251.

It is an arithmetic number, because the mean of its divisors is an integer number (6514034182768).

Almost surely, 2^{204122414210300} is an apocalyptic number.

204122414210300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204122414210300 is an abundant number, since it is smaller than the sum of its proper divisors (264888046948996).

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

204122414210300 is a wasteful number, since it uses less digits than its factorization.

204122414210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354487 (or 2354480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 204122414210300 its reverse (3012414221402), we get a palindrome (207134828431702).

The spelling of 204122414210300 in words is "two hundred four trillion, one hundred twenty-two billion, four hundred fourteen million, two hundred ten thousand, three hundred".