11002211002000 has 40 divisors (see below), whose sum is σ = 26603346207672. Its totient is φ = 4400884400000.

The previous prime is 11002211001983. The next prime is 11002211002019. The reversal of 11002211002000 is 20011220011.

It can be written as a sum of positive squares in 4 ways, for example, as 22557636864 + 10979653365136 = 150192^2 + 3313556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2750550751 + ... + 2750554750.

Almost surely, 2^{11002211002000} is an apocalyptic number.

11002211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002211002000 is an abundant number, since it is smaller than the sum of its proper divisors (15601135205672).

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

11002211002000 is an equidigital number, since it uses as much as digits as its factorization.

11002211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501105524 (or 5501105508 counting only the distinct ones).

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

Adding to 11002211002000 its reverse (20011220011), we get a palindrome (11022222222011).

The spelling of 11002211002000 in words is "eleven trillion, two billion, two hundred eleven million, two thousand".