11200021002000 has 240 divisors, whose sum is σ = 39165522734208. Its totient is φ = 2983039315200.

The previous prime is 11200021001999. The next prime is 11200021002041. The reversal of 11200021002000 is 20012000211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14435979 + ... + 15192021.

Almost surely, 2^{11200021002000} is an apocalyptic number.

11200021002000 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 11200021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582761367104).

11200021002000 is an abundant number, since it is smaller than the sum of its proper divisors (27965501732208).

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

11200021002000 is a wasteful number, since it uses less digits than its factorization.

11200021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756895 (or 756876 counting only the distinct ones).

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

Adding to 11200021002000 its reverse (20012000211), we get a palindrome (11220033002211).

The spelling of 11200021002000 in words is "eleven trillion, two hundred billion, twenty-one million, two thousand".