11101332232122 has 128 divisors (see below), whose sum is σ = 25746179546880. Its totient is φ = 3164730705920.

The previous prime is 11101332232121. The next prime is 11101332232183. The reversal of 11101332232122 is 22123223310111.

It is a junction number, because it is equal to n+sod(n) for n = 11101332232092 and 11101332232101.

It is not an unprimeable number, because it can be changed into a prime (11101332232121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873220438 + ... + 873233150.

It is an arithmetic number, because the mean of its divisors is an integer number (201142027710).

Almost surely, 2^{11101332232122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101332232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873089773440).

11101332232122 is an abundant number, since it is smaller than the sum of its proper divisors (14644847314758).

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

11101332232122 is a wasteful number, since it uses less digits than its factorization.

11101332232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15473 (or 15439 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11101332232122 its reverse (22123223310111), we get a palindrome (33224555542233).

The spelling of 11101332232122 in words is "eleven trillion, one hundred one billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred twenty-two".