11002010001100 has 72 divisors (see below), whose sum is σ = 24704069932080. Its totient is φ = 4250162273280.

The previous prime is 11002010001083. The next prime is 11002010001127. The reversal of 11002010001100 is 110001020011.

11002010001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13991497 + ... + 14756896.

It is an arithmetic number, because the mean of its divisors is an integer number (343112082390).

Almost surely, 2^{11002010001100} is an apocalyptic number.

11002010001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002010001100 is an abundant number, since it is smaller than the sum of its proper divisors (13702059930980).

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

11002010001100 is a wasteful number, since it uses less digits than its factorization.

11002010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28748539 (or 28748532 counting only the distinct ones).

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

Adding to 11002010001100 its reverse (110001020011), we get a palindrome (11112011021111).

The spelling of 11002010001100 in words is "eleven trillion, two billion, ten million, one thousand, one hundred".