11102120021020 has 144 divisors (see below), whose sum is σ = 27969038415360. Its totient is φ = 3689220662400.

The previous prime is 11102120020997. The next prime is 11102120021051. The reversal of 11102120021020 is 2012002120111.

It is a super-2 number, since 2×11102120021020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2753025 + ... + 5457415.

It is an arithmetic number, because the mean of its divisors is an integer number (194229433440).

Almost surely, 2^{11102120021020} is an apocalyptic number.

11102120021020 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 11102120021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984519207680).

11102120021020 is an abundant number, since it is smaller than the sum of its proper divisors (16866918394340).

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

11102120021020 is a wasteful number, since it uses less digits than its factorization.

11102120021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704544 (or 2704535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11102120021020 its reverse (2012002120111), we get a palindrome (13114122141131).

The spelling of 11102120021020 in words is "eleven trillion, one hundred two billion, one hundred twenty million, twenty-one thousand, twenty".