11102122110100 has 288 divisors, whose sum is σ = 29193468998400. Its totient is φ = 3583570636800.

The previous prime is 11102122110097. The next prime is 11102122110119. The reversal of 11102122110100 is 101122120111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2712463654 + ... + 2712467746.

It is an arithmetic number, because the mean of its divisors is an integer number (101366211800).

Almost surely, 2^{11102122110100} is an apocalyptic number.

11102122110100 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 11102122110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596734499200).

11102122110100 is an abundant number, since it is smaller than the sum of its proper divisors (18091346888300).

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

11102122110100 is a wasteful number, since it uses less digits than its factorization.

11102122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11102122110100 its reverse (101122120111), we get a palindrome (11203244230211).

The spelling of 11102122110100 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred".