11000020021120 has 256 divisors, whose sum is σ = 29408468705280. Its totient is φ = 3906976849920.

The previous prime is 11000020021103. The next prime is 11000020021121. The reversal of 11000020021120 is 2112002000011.

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 = 11000020021097 and 11000020021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000020021121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42944949 + ... + 43200331.

It is an arithmetic number, because the mean of its divisors is an integer number (114876830880).

Almost surely, 2^{11000020021120} is an apocalyptic number.

11000020021120 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 11000020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704234352640).

11000020021120 is an abundant number, since it is smaller than the sum of its proper divisors (18408448684160).

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

11000020021120 is a wasteful number, since it uses less digits than its factorization.

11000020021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255613 (or 255601 counting only the distinct ones).

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

Adding to 11000020021120 its reverse (2112002000011), we get a palindrome (13112022021131).

The spelling of 11000020021120 in words is "eleven trillion, twenty million, twenty-one thousand, one hundred twenty".