2201201111120 has 120 divisors (see below), whose sum is σ = 5683337904552. Its totient is φ = 792184504320.

The previous prime is 2201201111119. The next prime is 2201201111147. The reversal of 2201201111120 is 211111021022.

It can be written as a sum of positive squares in 4 ways, for example, as 13842934336 + 2187358176784 = 117656^2 + 1478972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2201201111095 and 2201201111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233189 + ... + 2111108.

Almost surely, 2^{2201201111120} is an apocalyptic number.

2201201111120 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 2201201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841668952276).

2201201111120 is an abundant number, since it is smaller than the sum of its proper divisors (3482136793432).

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

2201201111120 is a wasteful number, since it uses less digits than its factorization.

2201201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344429 (or 2344412 counting only the distinct ones).

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

Adding to 2201201111120 its reverse (211111021022), we get a palindrome (2412312132142).

The spelling of 2201201111120 in words is "two trillion, two hundred one billion, two hundred one million, one hundred eleven thousand, one hundred twenty".