11102002210112 has 224 divisors, whose sum is σ = 26277626327040. Its totient is φ = 4594609152000.

The previous prime is 11102002210111. The next prime is 11102002210153. The reversal of 11102002210112 is 21101220020111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102002210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740395339 + ... + 1740401717.

Almost surely, 2^{11102002210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102002210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138813163520).

11102002210112 is an abundant number, since it is smaller than the sum of its proper divisors (15175624116928).

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

11102002210112 is a wasteful number, since it uses less digits than its factorization.

11102002210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11102002210112 its reverse (21101220020111), we get a palindrome (32203222230223).

The spelling of 11102002210112 in words is "eleven trillion, one hundred two billion, two million, two hundred ten thousand, one hundred twelve".