2010211111120 has 80 divisors (see below), whose sum is σ = 4697449232400. Its totient is φ = 800015777792.

The previous prime is 2010211111057. The next prime is 2010211111133. The reversal of 2010211111120 is 211111120102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42928704 + 2010168182416 = 6552^2 + 1417804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2010211111120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010211111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12600492 + ... + 12759028.

It is an arithmetic number, because the mean of its divisors is an integer number (58718115405).

Almost surely, 2^{2010211111120} is an apocalyptic number.

2010211111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010211111120 is an abundant number, since it is smaller than the sum of its proper divisors (2687238121280).

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

2010211111120 is a wasteful number, since it uses less digits than its factorization.

2010211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159352 (or 159346 counting only the distinct ones).

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

Adding to 2010211111120 its reverse (211111120102), we get a palindrome (2221322231222).

The spelling of 2010211111120 in words is "two trillion, ten billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".