121101120000000 has 1248 divisors, whose sum is σ = 499803301750272. Its totient is φ = 27675648000000.

The previous prime is 121101119999971. The next prime is 121101120000031. The reversal of 121101120000000 is 21101121.

It is a happy number.

121101120000000 is digitally balanced in base 3, 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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20159996997 + ... + 20160003003.

It is an arithmetic number, because the mean of its divisors is an integer number (400483414864).

Almost surely, 2^{121101120000000} is an apocalyptic number.

121101120000000 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 121101120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249901650875136).

121101120000000 is an abundant number, since it is smaller than the sum of its proper divisors (378702181750272).

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

121101120000000 is an frugal number, since it uses more digits than its factorization.

121101120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121101120000000 its reverse (21101121), we get a palindrome (121101141101121).

The spelling of 121101120000000 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twenty million", and thus it is an aban number.