201233111220300 has 288 divisors, whose sum is σ = 619106807753280. Its totient is φ = 50384290611200.

The previous prime is 201233111220293. The next prime is 201233111220431. The reversal of 201233111220300 is 3022111332102.

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 95 ways as a sum of consecutive naturals, for example, 50173240 + ... + 54035360.

It is an arithmetic number, because the mean of its divisors is an integer number (2149676415810).

Almost surely, 2^{201233111220300} is an apocalyptic number.

201233111220300 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 201233111220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309553403876640).

201233111220300 is an abundant number, since it is smaller than the sum of its proper divisors (417873696532980).

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

201233111220300 is a wasteful number, since it uses less digits than its factorization.

201233111220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862333 (or 3862326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201233111220300 its reverse (3022111332102), we get a palindrome (204255222552402).

The spelling of 201233111220300 in words is "two hundred one trillion, two hundred thirty-three billion, one hundred eleven million, two hundred twenty thousand, three hundred".