11000120010220 has 96 divisors (see below), whose sum is σ = 25264987292160. Its totient is φ = 3989777180160.

The previous prime is 11000120010203. The next prime is 11000120010251. The reversal of 11000120010220 is 2201002100011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11000120010197 and 11000120010206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378868824 + ... + 378897856.

It is an arithmetic number, because the mean of its divisors is an integer number (263176950960).

Almost surely, 2^{11000120010220} is an apocalyptic number.

11000120010220 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 11000120010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632493646080).

11000120010220 is an abundant number, since it is smaller than the sum of its proper divisors (14264867281940).

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

11000120010220 is a wasteful number, since it uses less digits than its factorization.

11000120010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33415 (or 33413 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000120010220 its reverse (2201002100011), we get a palindrome (13201122110231).

The spelling of 11000120010220 in words is "eleven trillion, one hundred twenty million, ten thousand, two hundred twenty".