11102212100000 has 1152 divisors, whose sum is σ = 34902286110720. Its totient is φ = 3388170240000.

The previous prime is 11102212099973. The next prime is 11102212100009. The reversal of 11102212100000 is 121220111.

It is a super-2 number, since 2×11102212100000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11102212100009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18290299697 + ... + 18290300303.

It is an arithmetic number, because the mean of its divisors is an integer number (30297123360).

Almost surely, 2^{11102212100000} is an apocalyptic number.

11102212100000 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 11102212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451143055360).

11102212100000 is an abundant number, since it is smaller than the sum of its proper divisors (23800074010720).

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

11102212100000 is an equidigital number, since it uses as much as digits as its factorization.

11102212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11102212100000 its reverse (121220111), we get a palindrome (11102333320111).

The spelling of 11102212100000 in words is "eleven trillion, one hundred two billion, two hundred twelve million, one hundred thousand".