102122102110221 has 24 divisors (see below), whose sum is σ = 147873170839680. Its totient is φ = 67913675676000.

The previous prime is 102122102110213. The next prime is 102122102110229. The reversal of 102122102110221 is 122011201221201.

102122102110221 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 210 + 211 + 0 + 221 = 666.

102122102110221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102122102110213) and next prime (102122102110229).

It is not a de Polignac number, because 102122102110221 - 2³ = 102122102110213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122102110194 and 102122102110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122102110229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41821720 + ... + 44196158.

It is an arithmetic number, because the mean of its divisors is an integer number (6161382118320).

Almost surely, 2^{102122102110221} is an apocalyptic number.

It is an amenable number.

102122102110221 is a deficient number, since it is larger than the sum of its proper divisors (45751068729459).

102122102110221 is a wasteful number, since it uses less digits than its factorization.

102122102110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386217 (or 2386214 counting only the distinct ones).

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

Adding to 102122102110221 its reverse (122011201221201), we get a palindrome (224133303331422).

The spelling of 102122102110221 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand, two hundred twenty-one".