201001001111200 has 72 divisors (see below), whose sum is σ = 492261406058268. Its totient is φ = 80143530055680.

The previous prime is 201001001111173. The next prime is 201001001111213. The reversal of 201001001111200 is 2111100100102.

It can be written as a sum of positive squares in 6 ways, for example, as 29860497954576 + 171140503156624 = 5464476^2 + 13082068^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401109427 + ... + 401610226.

Almost surely, 2^{201001001111200} is an apocalyptic number.

201001001111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001001111200 is an abundant number, since it is smaller than the sum of its proper divisors (291260404947068).

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

201001001111200 is a wasteful number, since it uses less digits than its factorization.

201001001111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802719986 (or 802719973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201001001111200 its reverse (2111100100102), we get a palindrome (203112101211302).

The spelling of 201001001111200 in words is "two hundred one trillion, one billion, one million, one hundred eleven thousand, two hundred".