210001311081 has 9 divisors (see below), whose sum is σ = 303337212919. Its totient is φ = 139999957536.

The previous prime is 210001311073. The next prime is 210001311131. The reversal of 210001311081 is 180113100012.

It is a happy number.

The square root of 210001311081 is 458259.

It is a perfect power (a square), and thus also a powerful number.

210001311081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 198029450025 + 11971861056 = 445005^2 + 109416^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 210001311081 - 2³ = 210001311073 is a prime.

It is a super-3 number, since 3×210001311081³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210001311031) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1298401 + ... + 1451153.

Almost surely, 2^210001311081 is an apocalyptic number.

210001311081 is the 458259-th square number.

210001311081 is the 229130-th centered octagonal number.

It is an amenable number.

210001311081 is a deficient number, since it is larger than the sum of its proper divisors (93335901838).

210001311081 is an frugal number, since it uses more digits than its factorization.

210001311081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305512 (or 152756 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 210001311081 its reverse (180113100012), we get a palindrome (390114411093).

The spelling of 210001311081 in words is "two hundred ten billion, one million, three hundred eleven thousand, eighty-one".