204101124420100 has 576 divisors, whose sum is σ = 490529562223680. Its totient is φ = 73413741772800.

The previous prime is 204101124420043. The next prime is 204101124420131. The reversal of 204101124420100 is 1024421101402.

It can be written as a sum of positive squares in 96 ways, for example, as 186238261723396 + 17862862696704 = 13646914^2 + 4226448^2 .

It is a super-2 number, since 2×204101124420100² (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 191 ways as a sum of consecutive naturals, for example, 199903157590 + ... + 199903158610.

It is an arithmetic number, because the mean of its divisors is an integer number (851613823305).

Almost surely, 2^{204101124420100} is an apocalyptic number.

204101124420100 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 204101124420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245264781111840).

204101124420100 is an abundant number, since it is smaller than the sum of its proper divisors (286428437803580).

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

204101124420100 is a wasteful number, since it uses less digits than its factorization.

204101124420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 204101124420100 its reverse (1024421101402), we get a palindrome (205125545521502).

The spelling of 204101124420100 in words is "two hundred four trillion, one hundred one billion, one hundred twenty-four million, four hundred twenty thousand, one hundred".