11201112011012 has 96 divisors (see below), whose sum is σ = 25561925996544. Its totient is φ = 4164411081600.

The previous prime is 11201112011009. The next prime is 11201112011041. The reversal of 11201112011012 is 21011021110211.

11201112011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104473 + ... + 4860255.

It is an arithmetic number, because the mean of its divisors is an integer number (266270062464).

Almost surely, 2^{11201112011012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201112011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780962998272).

11201112011012 is an abundant number, since it is smaller than the sum of its proper divisors (14360813985532).

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

11201112011012 is a wasteful number, since it uses less digits than its factorization.

11201112011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756249 (or 3756247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11201112011012 its reverse (21011021110211), we get a palindrome (32212133121223).

The spelling of 11201112011012 in words is "eleven trillion, two hundred one billion, one hundred twelve million, eleven thousand, twelve".