121120111102122 has 96 divisors (see below), whose sum is σ = 289918321505280. Its totient is φ = 36237146268960.

The previous prime is 121120111102091. The next prime is 121120111102181. The reversal of 121120111102122 is 221201111021121.

It is a happy number.

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 = 121120111102095 and 121120111102104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481068993 + ... + 481320699.

It is an arithmetic number, because the mean of its divisors is an integer number (3019982515680).

Almost surely, 2^{121120111102122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120111102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144959160752640).

121120111102122 is an abundant number, since it is smaller than the sum of its proper divisors (168798210403158).

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

121120111102122 is a wasteful number, since it uses less digits than its factorization.

121120111102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282568 (or 282565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121120111102122 its reverse (221201111021121), we get a palindrome (342321222123243).

The spelling of 121120111102122 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred eleven million, one hundred two thousand, one hundred twenty-two".