121011100112120 has 128 divisors (see below), whose sum is σ = 276475389696000. Its totient is φ = 47659538626560.

The previous prime is 121011100112107. The next prime is 121011100112153. The reversal of 121011100112120 is 21211001110121.

121011100112120 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 = 121011100112095 and 121011100112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12502433441 + ... + 12502443119.

It is an arithmetic number, because the mean of its divisors is an integer number (2159963982000).

Almost surely, 2^{121011100112120} is an apocalyptic number.

121011100112120 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 121011100112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138237694848000).

121011100112120 is an abundant number, since it is smaller than the sum of its proper divisors (155464289583880).

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

121011100112120 is a wasteful number, since it uses less digits than its factorization.

121011100112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121011100112120 its reverse (21211001110121), we get a palindrome (142222101222241).

The spelling of 121011100112120 in words is "one hundred twenty-one trillion, eleven billion, one hundred million, one hundred twelve thousand, one hundred twenty".