11011101101120 has 56 divisors (see below), whose sum is σ = 26332717656024. Its totient is φ = 4385537232896.

The previous prime is 11011101101029. The next prime is 11011101101129. The reversal of 11011101101120 is 2110110111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1250675408896 + 9760425692224 = 1118336^2 + 3124168^2 .

It is not an unprimeable number, because it can be changed into a prime (11011101101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73765979 + ... + 73915098.

Almost surely, 2^{11011101101120} is an apocalyptic number.

11011101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011101101120 is an abundant number, since it is smaller than the sum of its proper divisors (15321616554904).

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

11011101101120 is a wasteful number, since it uses less digits than its factorization.

11011101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147681327 (or 147681317 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11011101101120 its reverse (2110110111011), we get a palindrome (13121211212131).

The spelling of 11011101101120 in words is "eleven trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred twenty".