2010211202120 has 192 divisors, whose sum is σ = 5010746091120. Its totient is φ = 725243904000.

The previous prime is 2010211202071. The next prime is 2010211202159. The reversal of 2010211202120 is 212021120102.

It can be written as a sum of positive squares in 8 ways, for example, as 1797599836516 + 212611365604 = 1340746^2 + 461098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010211202095 and 2010211202104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327766574 + ... + 327772706.

Almost surely, 2^{2010211202120} is an apocalyptic number.

2010211202120 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 2010211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505373045560).

2010211202120 is an abundant number, since it is smaller than the sum of its proper divisors (3000534889000).

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

2010211202120 is a wasteful number, since it uses less digits than its factorization.

2010211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010211202120 its reverse (212021120102), we get a palindrome (2222232322222).

The spelling of 2010211202120 in words is "two trillion, ten billion, two hundred eleven million, two hundred two thousand, one hundred twenty".