121101201121120 has 96 divisors (see below), whose sum is σ = 317999706585120. Its totient is φ = 43205917347840.

The previous prime is 121101201121097. The next prime is 121101201121127. The reversal of 121101201121120 is 21121102101121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121101201121094 and 121101201121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101201121127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 649034085 + ... + 649220644.

It is an arithmetic number, because the mean of its divisors is an integer number (3312496943595).

Almost surely, 2^{121101201121120} is an apocalyptic number.

121101201121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101201121120 is an abundant number, since it is smaller than the sum of its proper divisors (196898505464000).

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

121101201121120 is a wasteful number, since it uses less digits than its factorization.

121101201121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298254808 (or 1298254800 counting only the distinct ones).

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

Adding to 121101201121120 its reverse (21121102101121), we get a palindrome (142222303222241).

The spelling of 121101201121120 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".