11200110101120 has 64 divisors (see below), whose sum is σ = 27020907995400. Its totient is φ = 4438942691328.

The previous prime is 11200110101113. The next prime is 11200110101123. The reversal of 11200110101120 is 2110101100211.

It can be written as a sum of positive squares in 4 ways, for example, as 9214333102144 + 1985776998976 = 3035512^2 + 1409176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11200110101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80206259 + ... + 80345778.

Almost surely, 2^{11200110101120} is an apocalyptic number.

11200110101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200110101120 is an abundant number, since it is smaller than the sum of its proper divisors (15820797894280).

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

11200110101120 is a wasteful number, since it uses less digits than its factorization.

11200110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160552165 (or 160552153 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11200110101120 its reverse (2110101100211), we get a palindrome (13310211201331).

Subtracting from 11200110101120 its reverse (2110101100211), we obtain a palindrome (9090009000909).

The spelling of 11200110101120 in words is "eleven trillion, two hundred billion, one hundred ten million, one hundred one thousand, one hundred twenty".