122101011012120 has 512 divisors, whose sum is σ = 432462849638400. Its totient is φ = 26998484889600.

The previous prime is 122101011012107. The next prime is 122101011012139. The reversal of 122101011012120 is 21210110101221.

It is a happy number.

122101011012120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122101011012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8918334475 + ... + 8918348165.

It is an arithmetic number, because the mean of its divisors is an integer number (844654003200).

Almost surely, 2^{122101011012120} is an apocalyptic number.

122101011012120 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 122101011012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216231424819200).

122101011012120 is an abundant number, since it is smaller than the sum of its proper divisors (310361838626280).

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

122101011012120 is a wasteful number, since it uses less digits than its factorization.

122101011012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15919 (or 15915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122101011012120 its reverse (21210110101221), we get a palindrome (143311121113341).

The spelling of 122101011012120 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, twelve thousand, one hundred twenty".