204142124100 has 72 divisors (see below), whose sum is σ = 595302120448. Its totient is φ = 54009244800.

The previous prime is 204142124093. The next prime is 204142124117. The reversal of 204142124100 is 1421241402.

204142124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2640931 + ... + 2717130.

Almost surely, 2^204142124100 is an apocalyptic number.

204142124100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204142124100 is an abundant number, since it is smaller than the sum of its proper divisors (391159996348).

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

204142124100 is a wasteful number, since it uses less digits than its factorization.

204142124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358205 (or 5358198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 204142124100 its reverse (1421241402), we get a palindrome (205563365502).

The spelling of 204142124100 in words is "two hundred four billion, one hundred forty-two million, one hundred twenty-four thousand, one hundred".