11102102212200 has 192 divisors, whose sum is σ = 34835002560000. Its totient is φ = 2924716112640.

The previous prime is 11102102212193. The next prime is 11102102212207. The reversal of 11102102212200 is 221220120111.

11102102212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102102212193) and next prime (11102102212207).

It is a super-2 number, since 2×11102102212200² (a number of 27 digits) contains 22 as substring.

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 11102102212200.

It is not an unprimeable number, because it can be changed into a prime (11102102212207) 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, 22806951 + ... + 23288649.

It is an arithmetic number, because the mean of its divisors is an integer number (181432305000).

Almost surely, 2^{11102102212200} is an apocalyptic number.

11102102212200 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 11102102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417501280000).

11102102212200 is an abundant number, since it is smaller than the sum of its proper divisors (23732900347800).

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

11102102212200 is a wasteful number, since it uses less digits than its factorization.

11102102212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482184 (or 482175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11102102212200 its reverse (221220120111), we get a palindrome (11323322332311).

The spelling of 11102102212200 in words is "eleven trillion, one hundred two billion, one hundred two million, two hundred twelve thousand, two hundred".