201201300300 has 288 divisors, whose sum is σ = 781618973184. Its totient is φ = 38592000000.

The previous prime is 201201300257. The next prime is 201201300401. The reversal of 201201300300 is 3003102102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34701 + ... + 635300.

It is an arithmetic number, because the mean of its divisors is an integer number (2713954768).

Almost surely, 2^201201300300 is an apocalyptic number.

201201300300 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 201201300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390809486592).

201201300300 is an abundant number, since it is smaller than the sum of its proper divisors (580417672884).

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

201201300300 is a wasteful number, since it uses less digits than its factorization.

201201300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670049 (or 670042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201201300300 its reverse (3003102102), we get a palindrome (204204402402).

It can be divided in two parts, 201201 and 300300, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 201201300300 in words is "two hundred one billion, two hundred one million, three hundred thousand, three hundred".