2010211210120 has 32 divisors (see below), whose sum is σ = 4564470418200. Its totient is φ = 796707560448.

The previous prime is 2010211210103. The next prime is 2010211210127. The reversal of 2010211210120 is 210121120102.

It can be written as a sum of positive squares in 4 ways, for example, as 1966058274244 + 44152935876 = 1402162^2 + 210126^2 .

It is a super-2 number, since 2×2010211210120² (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 2010211210120.

It is not an unprimeable number, because it can be changed into a prime (2010211210127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 230524449 + ... + 230533168.

Almost surely, 2^{2010211210120} is an apocalyptic number.

2010211210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010211210120 is an abundant number, since it is smaller than the sum of its proper divisors (2554259208080).

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

2010211210120 is a wasteful number, since it uses less digits than its factorization.

2010211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461057737 (or 461057733 counting only the distinct ones).

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

Adding to 2010211210120 its reverse (210121120102), we get a palindrome (2220332330222).

It can be divided in two parts, 201021 and 1210120, that added together give a palindrome (1411141).

The spelling of 2010211210120 in words is "two trillion, ten billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".