11101111120 has 60 divisors (see below), whose sum is σ = 28369785780. Its totient is φ = 4036764160.

The previous prime is 11101111117. The next prime is 11101111127. The reversal of 11101111120 is 2111110111.

It can be written as a sum of positive squares in 2 ways, for example, as 3762104896 + 7339006224 = 61336^2 + 85668^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11101111097 and 11101111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101111127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563725 + ... + 583084.

It is an arithmetic number, because the mean of its divisors is an integer number (472829763).

Almost surely, 2^11101111120 is an apocalyptic number.

11101111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101111120 is an abundant number, since it is smaller than the sum of its proper divisors (17268674660).

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

11101111120 is a wasteful number, since it uses less digits than its factorization.

11101111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146844 (or 1146827 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11101111120 its reverse (2111110111), we get a palindrome (13212221231).

It can be divided in two parts, 11101 and 111120, that added together give a palindrome (122221).

The spelling of 11101111120 in words is "eleven billion, one hundred one million, one hundred eleven thousand, one hundred twenty".