102121120210221 has 96 divisors (see below), whose sum is σ = 170561008730112. Its totient is φ = 57671898238080.

The previous prime is 102121120210183. The next prime is 102121120210223. The reversal of 102121120210221 is 122012021121201.

102121120210221 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 211 + 20 + 210 + 221 = 666.

It is not a de Polignac number, because 102121120210221 - 2¹⁰ = 102121120209197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121120210194 and 102121120210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121120210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8162500356 + ... + 8162512866.

It is an arithmetic number, because the mean of its divisors is an integer number (1776677174272).

Almost surely, 2^{102121120210221} is an apocalyptic number.

It is an amenable number.

102121120210221 is a deficient number, since it is larger than the sum of its proper divisors (68439888519891).

102121120210221 is a wasteful number, since it uses less digits than its factorization.

102121120210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063 (or 15060 counting only the distinct ones).

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

Adding to 102121120210221 its reverse (122012021121201), we get a palindrome (224133141331422).

The spelling of 102121120210221 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred ten thousand, two hundred twenty-one".