11200021020000 has 360 divisors, whose sum is σ = 39813920186040. Its totient is φ = 2985615360000.

The previous prime is 11200021019989. The next prime is 11200021020017. The reversal of 11200021020000 is 2012000211.

11200021020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 599210655 + ... + 599229345.

It is an arithmetic number, because the mean of its divisors is an integer number (110594222739).

Almost surely, 2^{11200021020000} is an apocalyptic number.

11200021020000 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 11200021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906960093020).

11200021020000 is an abundant number, since it is smaller than the sum of its proper divisors (28613899166040).

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

11200021020000 is a wasteful number, since it uses less digits than its factorization.

11200021020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22056 (or 22030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200021020000 its reverse (2012000211), we get a palindrome (11202033020211).

The spelling of 11200021020000 in words is "eleven trillion, two hundred billion, twenty-one million, twenty thousand".