11102111200000 has 432 divisors, whose sum is σ = 28502394480000. Its totient is φ = 4313088000000.

The previous prime is 11102111199997. The next prime is 11102111200007. The reversal of 11102111200000 is 211120111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11102111200000.

It is not an unprimeable number, because it can be changed into a prime (11102111200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8888799376 + ... + 8888800624.

It is an arithmetic number, because the mean of its divisors is an integer number (65977765000).

Almost surely, 2^{11102111200000} is an apocalyptic number.

11102111200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251197240000).

11102111200000 is an abundant number, since it is smaller than the sum of its proper divisors (17400283280000).

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

11102111200000 is an frugal number, since it uses more digits than its factorization.

11102111200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11102111200000 its reverse (211120111), we get a palindrome (11102322320111).

The spelling of 11102111200000 in words is "eleven trillion, one hundred two billion, one hundred eleven million, two hundred thousand".