2110201111120 has 20 divisors (see below), whose sum is σ = 4906217583540. Its totient is φ = 844080444416.

The previous prime is 2110201111111. The next prime is 2110201111171. The reversal of 2110201111120 is 211111020112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 828405788224 + 1281795322896 = 910168^2 + 1132164^2 .

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 2110201111120.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13188756865 + ... + 13188757024.

It is an arithmetic number, because the mean of its divisors is an integer number (245310879177).

Almost surely, 2^{2110201111120} is an apocalyptic number.

2110201111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110201111120 is an abundant number, since it is smaller than the sum of its proper divisors (2796016472420).

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

2110201111120 is a wasteful number, since it uses less digits than its factorization.

2110201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26377513902 (or 26377513896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2110201111120 its reverse (211111020112), we get a palindrome (2321312131232).

The spelling of 2110201111120 in words is "two trillion, one hundred ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty".