201044134300 has 72 divisors (see below), whose sum is σ = 443885339520. Its totient is φ = 79014513600.

The previous prime is 201044134289. The next prime is 201044134409. The reversal of 201044134300 is 3431440102.

201044134300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 13367785 + ... + 13382815.

It is an arithmetic number, because the mean of its divisors is an integer number (6165074160).

Almost surely, 2^201044134300 is an apocalyptic number.

201044134300 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 201044134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221942669760).

201044134300 is an abundant number, since it is smaller than the sum of its proper divisors (242841205220).

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

201044134300 is a wasteful number, since it uses less digits than its factorization.

201044134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201044134300 its reverse (3431440102), we get a palindrome (204475574402).

The spelling of 201044134300 in words is "two hundred one billion, forty-four million, one hundred thirty-four thousand, three hundred".