11002110321120 has 96 divisors (see below), whose sum is σ = 34657161033600. Its totient is φ = 2933852613120.

The previous prime is 11002110321091. The next prime is 11002110321121. The reversal of 11002110321120 is 2112301120011.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002110321120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002110321121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44468155 + ... + 44714885.

It is an arithmetic number, because the mean of its divisors is an integer number (361012094100).

Almost surely, 2^{11002110321120} is an apocalyptic number.

11002110321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002110321120 is an abundant number, since it is smaller than the sum of its proper divisors (23655050712480).

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

11002110321120 is a wasteful number, since it uses less digits than its factorization.

11002110321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339648 (or 339640 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11002110321120 its reverse (2112301120011), we get a palindrome (13114411441131).

The spelling of 11002110321120 in words is "eleven trillion, two billion, one hundred ten million, three hundred twenty-one thousand, one hundred twenty".