11102112212100 has 288 divisors, whose sum is σ = 39558368269056. Its totient is φ = 2341033574400.

The previous prime is 11102112212071. The next prime is 11102112212117. The reversal of 11102112212100 is 121221120111.

It is a happy number.

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 11102112212100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46208280 + ... + 46447920.

Almost surely, 2^{11102112212100} is an apocalyptic number.

11102112212100 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 11102112212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779184134528).

11102112212100 is an abundant number, since it is smaller than the sum of its proper divisors (28456256056956).

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

11102112212100 is a wasteful number, since it uses less digits than its factorization.

11102112212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241375 (or 241368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11102112212100 its reverse (121221120111), we get a palindrome (11223333332211).

The spelling of 11102112212100 in words is "eleven trillion, one hundred two billion, one hundred twelve million, two hundred twelve thousand, one hundred".