12101201100120 has 256 divisors, whose sum is σ = 39762641318400. Its totient is φ = 2921882664960.

The previous prime is 12101201100113. The next prime is 12101201100133. The reversal of 12101201100120 is 2100110210121.

12101201100120 is digitally balanced in base 2, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 12101201100096 and 12101201100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579077512 + ... + 579098408.

It is an arithmetic number, because the mean of its divisors is an integer number (155322817650).

Almost surely, 2^{12101201100120} is an apocalyptic number.

12101201100120 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 12101201100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19881320659200).

12101201100120 is an abundant number, since it is smaller than the sum of its proper divisors (27661440218280).

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

12101201100120 is a wasteful number, since it uses less digits than its factorization.

12101201100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22658 (or 22654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101201100120 its reverse (2100110210121), we get a palindrome (14201311310241).

The spelling of 12101201100120 in words is "twelve trillion, one hundred one billion, two hundred one million, one hundred thousand, one hundred twenty".