11102111331120 has 80 divisors (see below), whose sum is σ = 38240605703520. Its totient is φ = 2960563021056.

The previous prime is 11102111331109. The next prime is 11102111331131. The reversal of 11102111331120 is 2113311120111.

11102111331120 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 211 + 1 + 331 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11102111331109) and next prime (11102111331131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11102111331093 and 11102111331102.

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, 2569931019 + ... + 2569935338.

It is an arithmetic number, because the mean of its divisors is an integer number (478007571294).

Almost surely, 2^{11102111331120} is an apocalyptic number.

11102111331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102111331120 is an abundant number, since it is smaller than the sum of its proper divisors (27138494372400).

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

11102111331120 is a wasteful number, since it uses less digits than its factorization.

11102111331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139866379 (or 5139866367 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11102111331120 its reverse (2113311120111), we get a palindrome (13215422451231).

The spelling of 11102111331120 in words is "eleven trillion, one hundred two billion, one hundred eleven million, three hundred thirty-one thousand, one hundred twenty".