11201102112 has 96 divisors (see below), whose sum is σ = 29623394304. Its totient is φ = 3705811200.

The previous prime is 11201102083. The next prime is 11201102131. The reversal of 11201102112 is 21120110211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12294937 + ... + 12295847.

It is an arithmetic number, because the mean of its divisors is an integer number (308577024).

Almost surely, 2^11201102112 is an apocalyptic number.

11201102112 is a gapful number since it is divisible by the number (12) 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 11201102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811697152).

11201102112 is an abundant number, since it is smaller than the sum of its proper divisors (18422292192).

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

11201102112 is a wasteful number, since it uses less digits than its factorization.

11201102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

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

Adding to 11201102112 its reverse (21120110211), we get a palindrome (32321212323).

It can be divided in two parts, 1120110211 and 2, that multiplied together give a palindrome (2240220422).

The spelling of 11201102112 in words is "eleven billion, two hundred one million, one hundred two thousand, one hundred twelve".