204242212013100 has 144 divisors (see below), whose sum is σ = 592866500448768. Its totient is φ = 54287199912960.

The previous prime is 204242212013027. The next prime is 204242212013123. The reversal of 204242212013100 is 1310212242402.

204242212013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204242212013100² (a number of 29 digits) contains 22 as substring.

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, 349817617 + ... + 350400983.

Almost surely, 2^{204242212013100} is an apocalyptic number.

204242212013100 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 204242212013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296433250224384).

204242212013100 is an abundant number, since it is smaller than the sum of its proper divisors (388624288435668).

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

204242212013100 is a wasteful number, since it uses less digits than its factorization.

204242212013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587184 (or 587177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 204242212013100 its reverse (1310212242402), we get a palindrome (205552424255502).

The spelling of 204242212013100 in words is "two hundred four trillion, two hundred forty-two billion, two hundred twelve million, thirteen thousand, one hundred".