122111021102120 has 128 divisors (see below), whose sum is σ = 295656540480000. Its totient is φ = 45244205862912.

The previous prime is 122111021102111. The next prime is 122111021102171. The reversal of 122111021102120 is 21201120111221.

It is a super-2 number, since 2×122111021102120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34347446 + ... + 37735514.

It is an arithmetic number, because the mean of its divisors is an integer number (2309816722500).

Almost surely, 2^{122111021102120} is an apocalyptic number.

122111021102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111021102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147828270240000).

122111021102120 is an abundant number, since it is smaller than the sum of its proper divisors (173545519377880).

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

122111021102120 is a wasteful number, since it uses less digits than its factorization.

122111021102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389155 (or 3389151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122111021102120 its reverse (21201120111221), we get a palindrome (143312141213341).

The spelling of 122111021102120 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-one million, one hundred two thousand, one hundred twenty".