201110011200 has 252 divisors, whose sum is σ = 816906082720. Its totient is φ = 45967979520.

The previous prime is 201110011187. The next prime is 201110011211. The reversal of 201110011200 is 2110011102.

It is a happy number.

201110011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 896770 + ... + 1098369.

Almost surely, 2^201110011200 is an apocalyptic number.

201110011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110011200 is an abundant number, since it is smaller than the sum of its proper divisors (615796071520).

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

201110011200 is a wasteful number, since it uses less digits than its factorization.

201110011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995174 (or 1995156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201110011200 its reverse (2110011102), we get a palindrome (203220022302).

The spelling of 201110011200 in words is "two hundred one billion, one hundred ten million, eleven thousand, two hundred".