11011011202112 has 112 divisors (see below), whose sum is σ = 22456384937280. Its totient is φ = 5353618022400.

The previous prime is 11011011202097. The next prime is 11011011202127. The reversal of 11011011202112 is 21120211011011.

It is an interprime number because it is at equal distance from previous prime (11011011202097) and next prime (11011011202127).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221947687 + ... + 1221956697.

It is an arithmetic number, because the mean of its divisors is an integer number (200503436940).

Almost surely, 2^{11011011202112} 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 11011011202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228192468640).

11011011202112 is an abundant number, since it is smaller than the sum of its proper divisors (11445373735168).

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

11011011202112 is a wasteful number, since it uses less digits than its factorization.

11011011202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011011202112 its reverse (21120211011011), we get a palindrome (32131222213123).

The spelling of 11011011202112 in words is "eleven trillion, eleven billion, eleven million, two hundred two thousand, one hundred twelve".