11102212121112 has 192 divisors, whose sum is σ = 35735084236800. Its totient is φ = 3046643470080.

The previous prime is 11102212121081. The next prime is 11102212121177. The reversal of 11102212121112 is 21112121220111.

It is a happy number.

It is a super-2 number, since 2×11102212121112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803193 + ... + 4780119.

It is an arithmetic number, because the mean of its divisors is an integer number (186120230400).

Almost surely, 2^{11102212121112} is an apocalyptic number.

11102212121112 is a gapful number since it is divisible by the number (12) 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 11102212121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867542118400).

11102212121112 is an abundant number, since it is smaller than the sum of its proper divisors (24632872115688).

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

11102212121112 is a wasteful number, since it uses less digits than its factorization.

11102212121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977166 (or 3977159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11102212121112 its reverse (21112121220111), we get a palindrome (32214333341223).

The spelling of 11102212121112 in words is "eleven trillion, one hundred two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twelve".