12101201101120 has 112 divisors (see below), whose sum is σ = 29440140741648. Its totient is φ = 4736457768960.

The previous prime is 12101201101097. The next prime is 12101201101217. The reversal of 12101201101120 is 2110110210121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5364560087104 + 6736641014016 = 2316152^2 + 2595504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12101201101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161302 + ... + 5373418.

It is an arithmetic number, because the mean of its divisors is an integer number (262858399479).

Almost surely, 2^{12101201101120} is an apocalyptic number.

12101201101120 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 12101201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720070370824).

12101201101120 is an abundant number, since it is smaller than the sum of its proper divisors (17338939640528).

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

12101201101120 is a wasteful number, since it uses less digits than its factorization.

12101201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212388 (or 3212378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101201101120 its reverse (2110110210121), we get a palindrome (14211311311241).

The spelling of 12101201101120 in words is "twelve trillion, one hundred one billion, two hundred one million, one hundred one thousand, one hundred twenty".