204034130100042 has 192 divisors, whose sum is σ = 483446258749440. Its totient is φ = 56889428025600.

The previous prime is 204034130100011. The next prime is 204034130100071. The reversal of 204034130100042 is 240001031430402.

It is a junction number, because it is equal to n+sod(n) for n = 204034130099985 and 204034130100021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217372809 + ... + 218309427.

It is an arithmetic number, because the mean of its divisors is an integer number (2517949264320).

Almost surely, 2^{204034130100042} is an apocalyptic number.

204034130100042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204034130100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241723129374720).

204034130100042 is an abundant number, since it is smaller than the sum of its proper divisors (279412128649398).

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

204034130100042 is a wasteful number, since it uses less digits than its factorization.

204034130100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936937 (or 936918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204034130100042 its reverse (240001031430402), we get a palindrome (444035161530444).

The spelling of 204034130100042 in words is "two hundred four trillion, thirty-four billion, one hundred thirty million, one hundred thousand, forty-two".