2010211120120 has 128 divisors (see below), whose sum is σ = 5197797411840. Its totient is φ = 685396131840.

The previous prime is 2010211120019. The next prime is 2010211120123. The reversal of 2010211120120 is 210211120102.

It is a self number, because there is not a number n which added to its sum of digits gives 2010211120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010211120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76968184 + ... + 76994296.

It is an arithmetic number, because the mean of its divisors is an integer number (40607792280).

Almost surely, 2^{2010211120120} is an apocalyptic number.

2010211120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010211120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598898705920).

2010211120120 is an abundant number, since it is smaller than the sum of its proper divisors (3187586291720).

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

2010211120120 is a wasteful number, since it uses less digits than its factorization.

2010211120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27645 (or 27641 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010211120120 its reverse (210211120102), we get a palindrome (2220422240222).

The spelling of 2010211120120 in words is "two trillion, ten billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".