122011101020120 has 128 divisors (see below), whose sum is σ = 296346028809600. Its totient is φ = 44943036420096.

The previous prime is 122011101020117. The next prime is 122011101020129. The reversal of 122011101020120 is 21020101110221.

It is a junction number, because it is equal to n+sod(n) for n = 122011101020095 and 122011101020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011101020129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2912147012 + ... + 2912188908.

It is an arithmetic number, because the mean of its divisors is an integer number (2315203350075).

Almost surely, 2^{122011101020120} is an apocalyptic number.

122011101020120 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 122011101020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148173014404800).

122011101020120 is an abundant number, since it is smaller than the sum of its proper divisors (174334927789480).

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

122011101020120 is a wasteful number, since it uses less digits than its factorization.

122011101020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55117 (or 55113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122011101020120 its reverse (21020101110221), we get a palindrome (143031202130341).

The spelling of 122011101020120 in words is "one hundred twenty-two trillion, eleven billion, one hundred one million, twenty thousand, one hundred twenty".