11102122112112 has 100 divisors (see below), whose sum is σ = 32585336766576. Its totient is φ = 3648584701440.

The previous prime is 11102122112051. The next prime is 11102122112117. The reversal of 11102122112112 is 21121122120111.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102122112117) 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 19 ways as a sum of consecutive naturals, for example, 60235113 + ... + 60419144.

Almost surely, 2^{11102122112112} is an apocalyptic number.

11102122112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102122112112 is an abundant number, since it is smaller than the sum of its proper divisors (21483214654464).

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

11102122112112 is a wasteful number, since it uses less digits than its factorization.

11102122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120654348 (or 120654333 counting only the distinct ones).

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

Adding to 11102122112112 its reverse (21121122120111), we get a palindrome (32223244232223).

The spelling of 11102122112112 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".