11000020201120 has 48 divisors (see below), whose sum is σ = 26010689332320. Its totient is φ = 4396089924864.

The previous prime is 11000020201111. The next prime is 11000020201123. The reversal of 11000020201120 is 2110202000011.

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 = 11000020201097 and 11000020201106.

It is not an unprimeable number, because it can be changed into a prime (11000020201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30430350 + ... + 30789709.

It is an arithmetic number, because the mean of its divisors is an integer number (541889361090).

Almost surely, 2^{11000020201120} is an apocalyptic number.

11000020201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000020201120 is an abundant number, since it is smaller than the sum of its proper divisors (15010669131200).

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

11000020201120 is a wasteful number, since it uses less digits than its factorization.

11000020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61221197 (or 61221189 counting only the distinct ones).

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

Adding to 11000020201120 its reverse (2110202000011), we get a palindrome (13110222201131).

The spelling of 11000020201120 in words is "eleven trillion, twenty million, two hundred one thousand, one hundred twenty".