2010211322112 has 216 divisors, whose sum is σ = 6645518175296. Its totient is φ = 572473847808.

The previous prime is 2010211322101. The next prime is 2010211322117. The reversal of 2010211322112 is 2112231120102.

2010211322112 is a `hidden beast` number, since 20 + 1 + 0 + 211 + 322 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2010211322117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4748298 + ... + 5154294.

Almost surely, 2^{2010211322112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010211322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322759087648).

2010211322112 is an abundant number, since it is smaller than the sum of its proper divisors (4635306853184).

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

2010211322112 is a wasteful number, since it uses less digits than its factorization.

2010211322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406333 (or 406316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2010211322112 its reverse (2112231120102), we get a palindrome (4122442442214).

The spelling of 2010211322112 in words is "two trillion, ten billion, two hundred eleven million, three hundred twenty-two thousand, one hundred twelve".