102221101210221 has 48 divisors (see below), whose sum is σ = 170315179632000. Its totient is φ = 57870876783744.

The previous prime is 102221101210171. The next prime is 102221101210253. The reversal of 102221101210221 is 122012101122201.

102221101210221 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 10 + 1 + 210 + 221 = 666.

It is not a de Polignac number, because 102221101210221 - 2⁷ = 102221101210093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221101210194 and 102221101210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221101200221) 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, 10345431 + ... + 17648516.

It is an arithmetic number, because the mean of its divisors is an integer number (3548232909000).

Almost surely, 2^{102221101210221} is an apocalyptic number.

It is an amenable number.

102221101210221 is a deficient number, since it is larger than the sum of its proper divisors (68094078421779).

102221101210221 is a wasteful number, since it uses less digits than its factorization.

102221101210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27994498 (or 27994495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221101210221 its reverse (122012101122201), we get a palindrome (224233202332422).

The spelling of 102221101210221 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred one million, two hundred ten thousand, two hundred twenty-one".