201001111200 has 360 divisors, whose sum is σ = 758295333180. Its totient is φ = 51751526400.

The previous prime is 201001111193. The next prime is 201001111217. The reversal of 201001111200 is 2111100102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 47108097936 + 153893013264 = 217044^2 + 392292^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1825720 + ... + 1932680.

Almost surely, 2^201001111200 is an apocalyptic number.

201001111200 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 201001111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379147666590).

201001111200 is an abundant number, since it is smaller than the sum of its proper divisors (557294221980).

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

201001111200 is a wasteful number, since it uses less digits than its factorization.

201001111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107022 (or 107000 counting only the distinct ones).

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

Adding to 201001111200 its reverse (2111100102), we get a palindrome (203112211302).

The spelling of 201001111200 in words is "two hundred one billion, one million, one hundred eleven thousand, two hundred".