11002101000 has 128 divisors (see below), whose sum is σ = 37447263360. Its totient is φ = 2667168000.

The previous prime is 11002100981. The next prime is 11002101001. The reversal of 11002101000 is 10120011.

11002101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a self number, because there is not a number n which added to its sum of digits gives 11002101000.

It is not an unprimeable number, because it can be changed into a prime (11002101001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 133699 + ... + 199698.

It is an arithmetic number, because the mean of its divisors is an integer number (292556745).

Almost surely, 2^11002101000 is an apocalyptic number.

11002101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002101000 is an abundant number, since it is smaller than the sum of its proper divisors (26445162360).

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

11002101000 is a wasteful number, since it uses less digits than its factorization.

11002101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333432 (or 333418 counting only the distinct ones).

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

Adding to 11002101000 its reverse (10120011), we get a palindrome (11012221011).

The spelling of 11002101000 in words is "eleven billion, two million, one hundred one thousand".