201044024100 has 216 divisors, whose sum is σ = 651279982080. Its totient is φ = 51819264000.

The previous prime is 201044024089. The next prime is 201044024119. The reversal of 201044024100 is 1420440102.

201044024100 is a `hidden beast` number, since 201 + 0 + 440 + 24 + 1 + 0 + 0 = 666.

201044024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 25636180 + ... + 25644020.

Almost surely, 2^201044024100 is an apocalyptic number.

201044024100 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 201044024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325639991040).

201044024100 is an abundant number, since it is smaller than the sum of its proper divisors (450235957980).

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

201044024100 is a wasteful number, since it uses less digits than its factorization.

201044024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201044024100 its reverse (1420440102), we get a palindrome (202464464202).

The spelling of 201044024100 in words is "two hundred one billion, forty-four million, twenty-four thousand, one hundred".