122101321122 has 192 divisors, whose sum is σ = 302996678400. Its totient is φ = 35206617600.

The previous prime is 122101321091. The next prime is 122101321151. The reversal of 122101321122 is 221123101221.

122101321122 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 321 + 122 = 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 = 122101321095 and 122101321104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88929628 + ... + 88931000.

It is an arithmetic number, because the mean of its divisors is an integer number (1578107700).

Almost surely, 2^122101321122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151498339200).

122101321122 is an abundant number, since it is smaller than the sum of its proper divisors (180895357278).

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

122101321122 is a wasteful number, since it uses less digits than its factorization.

122101321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1686 counting only the distinct ones).

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

Adding to 122101321122 its reverse (221123101221), we get a palindrome (343224422343).

The spelling of 122101321122 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty-one thousand, one hundred twenty-two".