121101022100120 has 64 divisors (see below), whose sum is σ = 284755588128000. Its totient is φ = 46263993854848.

The previous prime is 121101022100053. The next prime is 121101022100141. The reversal of 121101022100120 is 21001220101121.

121101022100120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121101022100095 and 121101022100104.

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 15 ways as a sum of consecutive naturals, for example, 99265910 + ... + 100478469.

It is an arithmetic number, because the mean of its divisors is an integer number (4449306064500).

Almost surely, 2^{121101022100120} is an apocalyptic number.

121101022100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101022100120 is an abundant number, since it is smaller than the sum of its proper divisors (163654566027880).

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

121101022100120 is a wasteful number, since it uses less digits than its factorization.

121101022100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199745072 (or 199745068 counting only the distinct ones).

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

Adding to 121101022100120 its reverse (21001220101121), we get a palindrome (142102242201241).

The spelling of 121101022100120 in words is "one hundred twenty-one trillion, one hundred one billion, twenty-two million, one hundred thousand, one hundred twenty".