11201112121122 has 128 divisors (see below), whose sum is σ = 31078828984320. Its totient is φ = 2905119328320.

The previous prime is 11201112121103. The next prime is 11201112121139. The reversal of 11201112121122 is 22112121110211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11201112121095 and 11201112121104.

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, 867828 + ... + 4812000.

It is an arithmetic number, because the mean of its divisors is an integer number (242803351440).

Almost surely, 2^{11201112121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201112121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539414492160).

11201112121122 is an abundant number, since it is smaller than the sum of its proper divisors (19877716863198).

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

11201112121122 is a wasteful number, since it uses less digits than its factorization.

11201112121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944885 (or 3944879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11201112121122 its reverse (22112121110211), we get a palindrome (33313233231333).

The spelling of 11201112121122 in words is "eleven trillion, two hundred one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-two".