102222201221221 has 8 divisors (see below), whose sum is σ = 102329883313560. Its totient is φ = 102114529456128.

The previous prime is 102222201221219. The next prime is 102222201221249. The reversal of 102222201221221 is 122122102222201.

It can be written as a sum of positive squares in 4 ways, for example, as 111459161025 + 102110742060196 = 333855^2 + 10104986^2 .

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 102222201221221 - 2¹ = 102222201221219 is a prime.

It is a super-2 number, since 2×102222201221221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102222201221192 and 102222201221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222201221251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17305845 + ... + 22448533.

It is an arithmetic number, because the mean of its divisors is an integer number (12791235414195).

Almost surely, 2^{102222201221221} is an apocalyptic number.

It is an amenable number.

102222201221221 is a deficient number, since it is larger than the sum of its proper divisors (107682092339).

102222201221221 is an equidigital number, since it uses as much as digits as its factorization.

102222201221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163623.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 102222201221221 its reverse (122122102222201), we get a palindrome (224344303443422).

The spelling of 102222201221221 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty-one".