10021312131101 has 8 divisors (see below), whose sum is σ = 10138002570360. Its totient is φ = 9904712612608.

The previous prime is 10021312131073. The next prime is 10021312131161. The reversal of 10021312131101 is 10113121312001.

It can be written as a sum of positive squares in 4 ways, for example, as 19108915225 + 10002203215876 = 138235^2 + 3162626^2 .

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 10021312131101 - 2⁶ = 10021312131037 is a prime.

It is a super-2 number, since 2×10021312131101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10021312131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021312131161) 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, 22508456 + ... + 22949361.

It is an arithmetic number, because the mean of its divisors is an integer number (1267250321295).

Almost surely, 2^{10021312131101} is an apocalyptic number.

It is an amenable number.

10021312131101 is a deficient number, since it is larger than the sum of its proper divisors (116690439259).

10021312131101 is an equidigital number, since it uses as much as digits as its factorization.

10021312131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45460383.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10021312131101 its reverse (10113121312001), we get a palindrome (20134433443102).

The spelling of 10021312131101 in words is "ten trillion, twenty-one billion, three hundred twelve million, one hundred thirty-one thousand, one hundred one".