2201210111120 has 80 divisors (see below), whose sum is σ = 5343075878400. Its totient is φ = 841768637952.

The previous prime is 2201210111119. The next prime is 2201210111129. The reversal of 2201210111120 is 211110121022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2201210111095 and 2201210111104.

It is not an unprimeable number, because it can be changed into a prime (2201210111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3279257 + ... + 3893063.

It is an arithmetic number, because the mean of its divisors is an integer number (66788448480).

Almost surely, 2^{2201210111120} is an apocalyptic number.

2201210111120 is a gapful number since it is divisible by the number (20) 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 2201210111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671537939200).

2201210111120 is an abundant number, since it is smaller than the sum of its proper divisors (3141865767280).

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

2201210111120 is a wasteful number, since it uses less digits than its factorization.

2201210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615792 (or 615786 counting only the distinct ones).

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

Adding to 2201210111120 its reverse (211110121022), we get a palindrome (2412320232142).

The spelling of 2201210111120 in words is "two trillion, two hundred one billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".