201100241200 has 60 divisors (see below), whose sum is σ = 484536007800. Its totient is φ = 80208225280.

The previous prime is 201100241191. The next prime is 201100241203. The reversal of 201100241200 is 2142001102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201100241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585625 + ... + 863224.

It is an arithmetic number, because the mean of its divisors is an integer number (8075600130).

Almost surely, 2^201100241200 is an apocalyptic number.

201100241200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100241200 is an abundant number, since it is smaller than the sum of its proper divisors (283435766600).

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

201100241200 is a wasteful number, since it uses less digits than its factorization.

201100241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449214 (or 1449203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201100241200 its reverse (2142001102), we get a palindrome (203242242302).

The spelling of 201100241200 in words is "two hundred one billion, one hundred million, two hundred forty-one thousand, two hundred".