321101122122 has 144 divisors (see below), whose sum is σ = 789370108800. Its totient is φ = 94193098560.

The previous prime is 321101122051. The next prime is 321101122127. The reversal of 321101122122 is 221221101123.

321101122122 is a `hidden beast` number, since 321 + 101 + 1 + 221 + 22 = 666.

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 = 321101122095 and 321101122104.

It is not an unprimeable number, because it can be changed into a prime (321101122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16026603 + ... + 16046625.

Almost surely, 2^321101122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321101122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394685054400).

321101122122 is an abundant number, since it is smaller than the sum of its proper divisors (468268986678).

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

321101122122 is a wasteful number, since it uses less digits than its factorization.

321101122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20289 (or 20275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 321101122122 its reverse (221221101123), we get a palindrome (542322223245).

The spelling of 321101122122 in words is "three hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-two".