101311102013221 has 4 divisors (see below), whose sum is σ = 107270578602252. Its totient is φ = 95351625424192.

The previous prime is 101311102013203. The next prime is 101311102013227. The reversal of 101311102013221 is 122310201113101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46429096932100 + 54882005081121 = 6813890^2 + 7408239^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311102013221 - 2⁹ = 101311102012709 is a prime.

It is a super-2 number, since 2×101311102013221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311102013227) 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 3 ways as a sum of consecutive naturals, for example, 2979738294490 + ... + 2979738294523.

It is an arithmetic number, because the mean of its divisors is an integer number (26817644650563).

Almost surely, 2^{101311102013221} is an apocalyptic number.

It is an amenable number.

101311102013221 is a deficient number, since it is larger than the sum of its proper divisors (5959476589031).

101311102013221 is an equidigital number, since it uses as much as digits as its factorization.

101311102013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959476589030.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101311102013221 its reverse (122310201113101), we get a palindrome (223621303126322).

The spelling of 101311102013221 in words is "one hundred one trillion, three hundred eleven billion, one hundred two million, thirteen thousand, two hundred twenty-one".