11102111121120 has 96 divisors (see below), whose sum is σ = 34976324880000. Its totient is φ = 2960167211520.

The previous prime is 11102111121113. The next prime is 11102111121133. The reversal of 11102111121120 is 2112111120111.

11102111121120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11102111121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057355 + ... + 5141685.

It is an arithmetic number, because the mean of its divisors is an integer number (364336717500).

Almost surely, 2^{11102111121120} is an apocalyptic number.

11102111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102111121120 is an abundant number, since it is smaller than the sum of its proper divisors (23874213758880).

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

11102111121120 is a wasteful number, since it uses less digits than its factorization.

11102111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091848 (or 3091840 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11102111121120 its reverse (2112111120111), we get a palindrome (13214222241231).

The spelling of 11102111121120 in words is "eleven trillion, one hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".