101220313221 has 6 divisors (see below), whose sum is σ = 146207119110. Its totient is φ = 67480208808.

The previous prime is 101220313213. The next prime is 101220313223. The reversal of 101220313221 is 122313022101.

101220313221 is a `hidden beast` number, since 10 + 122 + 0 + 313 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101194608321 + 25704900 = 318111^2 + 5070^2 .

It is not a de Polignac number, because 101220313221 - 2³ = 101220313213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220313194 and 101220313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220313223) 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 5 ways as a sum of consecutive naturals, for example, 5623350726 + ... + 5623350743.

It is an arithmetic number, because the mean of its divisors is an integer number (24367853185).

Almost surely, 2^101220313221 is an apocalyptic number.

It is an amenable number.

101220313221 is a deficient number, since it is larger than the sum of its proper divisors (44986805889).

101220313221 is a wasteful number, since it uses less digits than its factorization.

101220313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246701475 (or 11246701472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101220313221 its reverse (122313022101), we get a palindrome (223533335322).

The spelling of 101220313221 in words is "one hundred one billion, two hundred twenty million, three hundred thirteen thousand, two hundred twenty-one".