201110101111120 has 20 divisors (see below), whose sum is σ = 467580985083540. Its totient is φ = 80444040444416.

The previous prime is 201110101111103. The next prime is 201110101111141. The reversal of 201110101111120 is 21111101011102.

It can be written as a sum of positive squares in 2 ways, for example, as 136556332375824 + 64553768735296 = 11685732^2 + 8034536^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 201110101111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256938131865 + ... + 1256938132024.

It is an arithmetic number, because the mean of its divisors is an integer number (23379049254177).

Almost surely, 2^{201110101111120} is an apocalyptic number.

201110101111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110101111120 is an abundant number, since it is smaller than the sum of its proper divisors (266470883972420).

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

201110101111120 is a wasteful number, since it uses less digits than its factorization.

201110101111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513876263902 (or 2513876263896 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 201110101111120 its reverse (21111101011102), we get a palindrome (222221202122222).

The spelling of 201110101111120 in words is "two hundred one trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, one hundred twenty".