11011221110112 has 96 divisors (see below), whose sum is σ = 29348689047552. Its totient is φ = 3614162125824.

The previous prime is 11011221110081. The next prime is 11011221110117. The reversal of 11011221110112 is 21101112211011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11011221110112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011221110091 and 11011221110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011221110117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2959593 + ... + 5548119.

It is an arithmetic number, because the mean of its divisors is an integer number (305715510912).

Almost surely, 2^{11011221110112} is an apocalyptic number.

11011221110112 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 11011221110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674344523776).

11011221110112 is an abundant number, since it is smaller than the sum of its proper divisors (18337467937440).

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

11011221110112 is a wasteful number, since it uses less digits than its factorization.

11011221110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589220 (or 2589212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11011221110112 its reverse (21101112211011), we get a palindrome (32112333321123).

The spelling of 11011221110112 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one hundred ten thousand, one hundred twelve".