201110013012101 has 8 divisors (see below), whose sum is σ = 201360453168600. Its totient is φ = 200859577423360.

The previous prime is 201110013012079. The next prime is 201110013012203. The reversal of 201110013012101 is 101210310011102.

It can be written as a sum of positive squares in 4 ways, for example, as 60327065702500 + 140782947309601 = 7767050^2 + 11865199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201110013012101 - 2³⁴ = 201092833142917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110013011101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 91660355 + ... + 93828783.

It is an arithmetic number, because the mean of its divisors is an integer number (25170056646075).

Almost surely, 2^{201110013012101} is an apocalyptic number.

It is an amenable number.

201110013012101 is a deficient number, since it is larger than the sum of its proper divisors (250440156499).

201110013012101 is a wasteful number, since it uses less digits than its factorization.

201110013012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283879.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 201110013012101 its reverse (101210310011102), we get a palindrome (302320323023203).

The spelling of 201110013012101 in words is "two hundred one trillion, one hundred ten billion, thirteen million, twelve thousand, one hundred one".