201101312 has 52 divisors (see below), whose sum is σ = 416266620. Its totient is φ = 97026048.

The previous prime is 201101291. The next prime is 201101321. The reversal of 201101312 is 213101102.

It can be written as a sum of positive squares in 2 ways, for example, as 90935296 + 110166016 = 9536^2 + 10496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201101293 and 201101302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117938 + ... + 119630.

Almost surely, 2^201101312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208133310).

201101312 is an abundant number, since it is smaller than the sum of its proper divisors (215165308).

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

201101312 is an equidigital number, since it uses as much as digits as its factorization.

201101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 201101312 is about 14181.0194273896. The cubic root of 201101312 is about 585.8750019745.

Adding to 201101312 its reverse (213101102), we get a palindrome (414202414).

The spelling of 201101312 in words is "two hundred one million, one hundred one thousand, three hundred twelve".