11410101120 has 128 divisors (see below), whose sum is σ = 39676106880. Its totient is φ = 2766080000.

The previous prime is 11410101097. The next prime is 11410101163. The reversal of 11410101120 is 2110101411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11410101096 and 11410101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249006 + ... + 291245.

It is an arithmetic number, because the mean of its divisors is an integer number (309969585).

Almost surely, 2^11410101120 is an apocalyptic number.

11410101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11410101120 is an abundant number, since it is smaller than the sum of its proper divisors (28266005760).

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

11410101120 is a wasteful number, since it uses less digits than its factorization.

11410101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540284 (or 540272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11410101120 its reverse (2110101411), we get a palindrome (13520202531).

The spelling of 11410101120 in words is "eleven billion, four hundred ten million, one hundred one thousand, one hundred twenty".