102022100221221 has 48 divisors (see below), whose sum is σ = 160318368525744. Its totient is φ = 62257551409152.

The previous prime is 102022100221219. The next prime is 102022100221231. The reversal of 102022100221221 is 122122001220201.

It is a happy number.

102022100221221 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 221 + 0 + 0 + 221 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4874760588996 + 97147339632225 = 2207886^2 + 9856335^2 .

It is not a de Polignac number, because 102022100221221 - 2¹ = 102022100221219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022100221194 and 102022100221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022100221231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9665301 + ... + 17247093.

It is an arithmetic number, because the mean of its divisors is an integer number (3339966010953).

Almost surely, 2^{102022100221221} is an apocalyptic number.

It is an amenable number.

102022100221221 is a deficient number, since it is larger than the sum of its proper divisors (58296268304523).

102022100221221 is a wasteful number, since it uses less digits than its factorization.

102022100221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584230 (or 7584227 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022100221221 its reverse (122122001220201), we get a palindrome (224144101441422).

The spelling of 102022100221221 in words is "one hundred two trillion, twenty-two billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-one".