11102130211200 has 192 divisors, whose sum is σ = 41791590405120. Its totient is φ = 2537629747200.

The previous prime is 11102130211177. The next prime is 11102130211261. The reversal of 11102130211200 is 211203120111.

It is a tau number, because it is divible by the number of its divisors (192).

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 11102130211200.

It is a congruent number.

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, 82537936 + ... + 82672335.

It is an arithmetic number, because the mean of its divisors is an integer number (217664533360).

Almost surely, 2^{11102130211200} is an apocalyptic number.

11102130211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102130211200 is an abundant number, since it is smaller than the sum of its proper divisors (30689460193920).

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

11102130211200 is a wasteful number, since it uses less digits than its factorization.

11102130211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165210305 (or 165210288 counting only the distinct ones).

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

Adding to 11102130211200 its reverse (211203120111), we get a palindrome (11313333331311).

The spelling of 11102130211200 in words is "eleven trillion, one hundred two billion, one hundred thirty million, two hundred eleven thousand, two hundred".