101020221221 has 8 divisors (see below), whose sum is σ = 101210840280. Its totient is φ = 100829657088.

The previous prime is 101020221199. The next prime is 101020221277. The reversal of 101020221221 is 122122020101.

It can be written as a sum of positive squares in 4 ways, for example, as 45045393121 + 55974828100 = 212239^2 + 236590^2 .

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 101020221221 - 2³⁰ = 99946479397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020221196 and 101020221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020221521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6378905 + ... + 6394721.

It is an arithmetic number, because the mean of its divisors is an integer number (12651355035).

Almost surely, 2^101020221221 is an apocalyptic number.

It is an amenable number.

101020221221 is a deficient number, since it is larger than the sum of its proper divisors (190619059).

101020221221 is a wasteful number, since it uses less digits than its factorization.

101020221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27463.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020221221 its reverse (122122020101), we get a palindrome (223142241322).

The spelling of 101020221221 in words is "one hundred one billion, twenty million, two hundred twenty-one thousand, two hundred twenty-one".