11201121220112 has 160 divisors (see below), whose sum is σ = 23518540654560. Its totient is φ = 5148927590400.

The previous prime is 11201121220063. The next prime is 11201121220127. The reversal of 11201121220112 is 21102212110211.

It can be written as a sum of positive squares in 16 ways, for example, as 108731105536 + 11092390114576 = 329744^2 + 3330524^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1411249808 + ... + 1411257744.

It is an arithmetic number, because the mean of its divisors is an integer number (146990879091).

Almost surely, 2^{11201121220112} 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 11201121220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11759270327280).

11201121220112 is an abundant number, since it is smaller than the sum of its proper divisors (12317419434448).

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

11201121220112 is a wasteful number, since it uses less digits than its factorization.

11201121220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11201121220112 its reverse (21102212110211), we get a palindrome (32303333330323).

The spelling of 11201121220112 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".