11002101120 has 96 divisors (see below), whose sum is σ = 37991650320. Its totient is φ = 2933892096.

The previous prime is 11002101067. The next prime is 11002101127. The reversal of 11002101120 is 2110120011.

It is a happy number.

11002101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002101127) 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 11 ways as a sum of consecutive naturals, for example, 949284 + ... + 960803.

Almost surely, 2^11002101120 is an apocalyptic number.

11002101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002101120 is an abundant number, since it is smaller than the sum of its proper divisors (26989549200).

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

11002101120 is a wasteful number, since it uses less digits than its factorization.

11002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910112 (or 1910097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002101120 its reverse (2110120011), we get a palindrome (13112221131).

The spelling of 11002101120 in words is "eleven billion, two million, one hundred one thousand, one hundred twenty".