11022011100120 has 256 divisors, whose sum is σ = 35024094144000. Its totient is φ = 2770749628416.

The previous prime is 11022011100083. The next prime is 11022011100179. The reversal of 11022011100120 is 2100111022011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11022011100096 and 11022011100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26137911 + ... + 26556249.

It is an arithmetic number, because the mean of its divisors is an integer number (136812867750).

Almost surely, 2^{11022011100120} is an apocalyptic number.

11022011100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022011100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512047072000).

11022011100120 is an abundant number, since it is smaller than the sum of its proper divisors (24002083043880).

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

11022011100120 is a wasteful number, since it uses less digits than its factorization.

11022011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418562 (or 418558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022011100120 its reverse (2100111022011), we get a palindrome (13122122122131).

The spelling of 11022011100120 in words is "eleven trillion, twenty-two billion, eleven million, one hundred thousand, one hundred twenty".