102110221102122 has 24 divisors (see below), whose sum is σ = 222204920747940. Its totient is φ = 33888108312000.

The previous prime is 102110221102103. The next prime is 102110221102157. The reversal of 102110221102122 is 221201122011201.

102110221102122 is a `hidden beast` number, since 10 + 211 + 0 + 221 + 10 + 212 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102086754232401 + 23466869721 = 10103799^2 + 153189^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102110221102095 and 102110221102104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12386000379 + ... + 12386008622.

Almost surely, 2^{102110221102122} is an apocalyptic number.

102110221102122 is an abundant number, since it is smaller than the sum of its proper divisors (120094699645818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102110221102122 is a wasteful number, since it uses less digits than its factorization.

102110221102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24772009238 (or 24772009235 counting only the distinct ones).

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

Adding to 102110221102122 its reverse (221201122011201), we get a palindrome (323311343113323).

The spelling of 102110221102122 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty-two".