201201112011001 has 16 divisors (see below), whose sum is σ = 204805007208720. Its totient is φ = 197627651020800.

The previous prime is 201201112010963. The next prime is 201201112011007. The reversal of 201201112011001 is 100110211102102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86803134912400 + 114397977098601 = 9316820^2 + 10695699^2 .

It is a cyclic number.

It is not a de Polignac number, because 201201112011001 - 2⁹ = 201201112010489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201201112011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58940851 + ... + 62260951.

It is an arithmetic number, because the mean of its divisors is an integer number (12800312950545).

Almost surely, 2^{201201112011001} is an apocalyptic number.

It is an amenable number.

201201112011001 is a deficient number, since it is larger than the sum of its proper divisors (3603895197719).

201201112011001 is a wasteful number, since it uses less digits than its factorization.

201201112011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324684.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201201112011001 its reverse (100110211102102), we get a palindrome (301311323113103).

The spelling of 201201112011001 in words is "two hundred one trillion, two hundred one billion, one hundred twelve million, eleven thousand, one".