122011020101120 has 80 divisors (see below), whose sum is σ = 292572997857360. Its totient is φ = 48798983921664.

The previous prime is 122011020101111. The next prime is 122011020101161. The reversal of 122011020101120 is 21101020110221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×122011020101120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122011020101095 and 122011020101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20429291 + ... + 25717269.

It is an arithmetic number, because the mean of its divisors is an integer number (3657162473217).

Almost surely, 2^{122011020101120} is an apocalyptic number.

122011020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011020101120 is an abundant number, since it is smaller than the sum of its proper divisors (170561977756240).

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

122011020101120 is an frugal number, since it uses more digits than its factorization.

122011020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297015 (or 5296999 counting only the distinct ones).

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

Adding to 122011020101120 its reverse (21101020110221), we get a palindrome (143112040211341).

The spelling of 122011020101120 in words is "one hundred twenty-two trillion, eleven billion, twenty million, one hundred one thousand, one hundred twenty".