201044302200 has 288 divisors, whose sum is σ = 772020007200. Its totient is φ = 45929594880.

The previous prime is 201044302171. The next prime is 201044302219. The reversal of 201044302200 is 2203440102.

201044302200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 443 + 0 + 220 + 0 = 666.

It is a super-2 number, since 2×201044302200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41943004 + ... + 41947796.

It is an arithmetic number, because the mean of its divisors is an integer number (2680625025).

Almost surely, 2^201044302200 is an apocalyptic number.

201044302200 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 201044302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386010003600).

201044302200 is an abundant number, since it is smaller than the sum of its proper divisors (570975705000).

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

201044302200 is a wasteful number, since it uses less digits than its factorization.

201044302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201044302200 its reverse (2203440102), we get a palindrome (203247742302).

The spelling of 201044302200 in words is "two hundred one billion, forty-four million, three hundred two thousand, two hundred".