11310010112101 has 8 divisors (see below), whose sum is σ = 11325137897304. Its totient is φ = 11294883025920.

The previous prime is 11310010112099. The next prime is 11310010112123. The reversal of 11310010112101 is 10121101001311.

It can be written as a sum of positive squares in 4 ways, for example, as 617208211876 + 10692801900225 = 785626^2 + 3269985^2 .

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 11310010112101 - 2¹ = 11310010112099 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 (11310010112701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37669891 + ... + 37968943.

It is an arithmetic number, because the mean of its divisors is an integer number (1415642237163).

Almost surely, 2^{11310010112101} is an apocalyptic number.

It is an amenable number.

11310010112101 is a deficient number, since it is larger than the sum of its proper divisors (15127785203).

11310010112101 is an equidigital number, since it uses as much as digits as its factorization.

11310010112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349511.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11310010112101 its reverse (10121101001311), we get a palindrome (21431111113412).

The spelling of 11310010112101 in words is "eleven trillion, three hundred ten billion, ten million, one hundred twelve thousand, one hundred one".