201110111120 has 20 divisors (see below), whose sum is σ = 467581008540. Its totient is φ = 80444044416.

The previous prime is 201110111113. The next prime is 201110111159. The reversal of 201110111120 is 21111011102.

It can be written as a sum of positive squares in 2 ways, for example, as 97971504016 + 103138607104 = 313004^2 + 321152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256938115 + ... + 1256938274.

It is an arithmetic number, because the mean of its divisors is an integer number (23379050427).

Almost surely, 2^201110111120 is an apocalyptic number.

201110111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110111120 is an abundant number, since it is smaller than the sum of its proper divisors (266470897420).

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

201110111120 is a wasteful number, since it uses less digits than its factorization.

201110111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513876402 (or 2513876396 counting only the distinct ones).

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

Adding to 201110111120 its reverse (21111011102), we get a palindrome (222221122222).

The spelling of 201110111120 in words is "two hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".