11002121200000 has 768 divisors, whose sum is σ = 33360853518720. Its totient is φ = 3527884800000.

The previous prime is 11002121199977. The next prime is 11002121200027. The reversal of 11002121200000 is 212120011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11002121200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8615599362 + ... + 8615600638.

Almost surely, 2^{11002121200000} is an apocalyptic number.

11002121200000 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 11002121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680426759360).

11002121200000 is an abundant number, since it is smaller than the sum of its proper divisors (22358732318720).

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

11002121200000 is an equidigital number, since it uses as much as digits as its factorization.

11002121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1489 counting only the distinct ones).

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

Adding to 11002121200000 its reverse (212120011), we get a palindrome (11002333320011).

The spelling of 11002121200000 in words is "eleven trillion, two billion, one hundred twenty-one million, two hundred thousand".