201231103200 has 288 divisors, whose sum is σ = 685265640192. Its totient is φ = 51194880000.

The previous prime is 201231103133. The next prime is 201231103201. The reversal of 201231103200 is 2301132102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201231103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201231103201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22130655 + ... + 22139745.

It is an arithmetic number, because the mean of its divisors is an integer number (2379394584).

Almost surely, 2^201231103200 is an apocalyptic number.

201231103200 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 201231103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342632820096).

201231103200 is an abundant number, since it is smaller than the sum of its proper divisors (484034536992).

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

201231103200 is a wasteful number, since it uses less digits than its factorization.

201231103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201231103200 its reverse (2301132102), we get a palindrome (203532235302).

The spelling of 201231103200 in words is "two hundred one billion, two hundred thirty-one million, one hundred three thousand, two hundred".