11011022221122 has 192 divisors, whose sum is σ = 31274145826560. Its totient is φ = 2716115673600.

The previous prime is 11011022221063. The next prime is 11011022221123. The reversal of 11011022221122 is 22112222011011.

It is a super-2 number, since 2×11011022221122² (a number of 27 digits) contains 22 as substring.

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 = 11011022221095 and 11011022221104.

It is not an unprimeable number, because it can be changed into a prime (11011022221123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206368 + ... + 4697300.

It is an arithmetic number, because the mean of its divisors is an integer number (162886176180).

Almost surely, 2^{11011022221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011022221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637072913280).

11011022221122 is an abundant number, since it is smaller than the sum of its proper divisors (20263123605438).

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

11011022221122 is a wasteful number, since it uses less digits than its factorization.

11011022221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491049 (or 4491046 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11011022221122 its reverse (22112222011011), we get a palindrome (33123244232133).

The spelling of 11011022221122 in words is "eleven trillion, eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".