11100110211112 has 64 divisors (see below), whose sum is σ = 22592636211600. Its totient is φ = 5082362910720.

The previous prime is 11100110211017. The next prime is 11100110211121. The reversal of 11100110211112 is 21111201100111.

It can be written as a sum of positive squares in 8 ways, for example, as 3229762499716 + 7870347711396 = 1797154^2 + 2805414^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11100110211092 and 11100110211101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6978138 + ... + 8419894.

Almost surely, 2^{11100110211112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100110211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296318105800).

11100110211112 is an abundant number, since it is smaller than the sum of its proper divisors (11492526000488).

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

11100110211112 is a wasteful number, since it uses less digits than its factorization.

11100110211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442366 (or 1442362 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11100110211112 its reverse (21111201100111), we get a palindrome (32211311311223).

The spelling of 11100110211112 in words is "eleven trillion, one hundred billion, one hundred ten million, two hundred eleven thousand, one hundred twelve".