11021002332032 has 128 divisors (see below), whose sum is σ = 27437115847680. Its totient is φ = 4283932723200.

The previous prime is 11021002332019. The next prime is 11021002332047. The reversal of 11021002332032 is 23023320012011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11021002331995 and 11021002332013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950718 + ... + 5545154.

It is an arithmetic number, because the mean of its divisors is an integer number (214352467560).

Almost surely, 2^{11021002332032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021002332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718557923840).

11021002332032 is an abundant number, since it is smaller than the sum of its proper divisors (16416113515648).

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

11021002332032 is a wasteful number, since it uses less digits than its factorization.

11021002332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594900 (or 2594888 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11021002332032 its reverse (23023320012011), we get a palindrome (34044322344043).

The spelling of 11021002332032 in words is "eleven trillion, twenty-one billion, two million, three hundred thirty-two thousand, thirty-two".