11000101120 has 36 divisors (see below), whose sum is σ = 26348682780. Its totient is φ = 4400039936.

The previous prime is 11000101117. The next prime is 11000101121. The reversal of 11000101120 is 2110100011.

It can be written as a sum of positive squares in 2 ways, for example, as 7434578176 + 3565522944 = 86224^2 + 59712^2 .

It is not an unprimeable number, because it can be changed into a prime (11000101121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4295635 + ... + 4298194.

It is an arithmetic number, because the mean of its divisors is an integer number (731907855).

Almost surely, 2^11000101120 is an apocalyptic number.

11000101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000101120 is an abundant number, since it is smaller than the sum of its proper divisors (15348581660).

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

11000101120 is an frugal number, since it uses more digits than its factorization.

11000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593850 (or 8593836 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11000101120 its reverse (2110100011), we get a palindrome (13110201131).

The spelling of 11000101120 in words is "eleven billion, one hundred one thousand, one hundred twenty".