11201102120 has 256 divisors, whose sum is σ = 30373056000. Its totient is φ = 3675488256.

The previous prime is 11201102083. The next prime is 11201102131. The reversal of 11201102120 is 2120110211.

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, 18095171 + ... + 18095789.

It is an arithmetic number, because the mean of its divisors is an integer number (118644750).

Almost surely, 2^11201102120 is an apocalyptic number.

11201102120 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 11201102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528000).

11201102120 is an abundant number, since it is smaller than the sum of its proper divisors (19171953880).

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

11201102120 is a wasteful number, since it uses less digits than its factorization.

11201102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201102120 its reverse (2120110211), we get a palindrome (13321212331).

The spelling of 11201102120 in words is "eleven billion, two hundred one million, one hundred two thousand, one hundred twenty".