11002011010000 has 200 divisors, whose sum is σ = 27633803008680. Its totient is φ = 4236976128000.

The previous prime is 11002011009973. The next prime is 11002011010043. The reversal of 11002011010000 is 1011020011.

It can be written as a sum of positive squares in 20 ways, for example, as 10829417292864 + 172593717136 = 3290808^2 + 415444^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11002011010000² (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 102316264 + ... + 102423736.

Almost surely, 2^{11002011010000} is an apocalyptic number.

11002011010000 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 11002011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816901504340).

11002011010000 is an abundant number, since it is smaller than the sum of its proper divisors (16631791998680).

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

11002011010000 is a wasteful number, since it uses less digits than its factorization.

11002011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107883 (or 107862 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11002011010000 its reverse (1011020011), we get a palindrome (11003022030011).

The spelling of 11002011010000 in words is "eleven trillion, two billion, eleven million, ten thousand".