11002011000000 has 784 divisors, whose sum is σ = 37099400121600. Its totient is φ = 2877120000000.

The previous prime is 11002010999983. The next prime is 11002011000037. The reversal of 11002011000000 is 11020011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67496999919 + ... + 67497000081.

Almost surely, 2^{11002011000000} is an apocalyptic number.

11002011000000 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 11002011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549700060800).

11002011000000 is an abundant number, since it is smaller than the sum of its proper divisors (26097389121600).

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

11002011000000 is an equidigital number, since it uses as much as digits as its factorization.

11002011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11002011000000 its reverse (11020011), we get a palindrome (11002022020011).

The spelling of 11002011000000 in words is "eleven trillion, two billion, eleven million", and thus it is an aban number and an uban number.