2010112102011 has 16 divisors (see below), whose sum is σ = 2886346215200. Its totient is φ = 1236978604800.

The previous prime is 2010112101989. The next prime is 2010112102013. The reversal of 2010112102011 is 1102012110102.

It is not a de Polignac number, because 2010112102011 - 2⁶ = 2010112101947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010112102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4295661 + ... + 4740561.

It is an arithmetic number, because the mean of its divisors is an integer number (180396638450).

Almost surely, 2^{2010112102011} is an apocalyptic number.

2010112102011 is a deficient number, since it is larger than the sum of its proper divisors (876234113189).

2010112102011 is a wasteful number, since it uses less digits than its factorization.

2010112102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560766.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2010112102011 its reverse (1102012110102), we get a palindrome (3112124212113).

The spelling of 2010112102011 in words is "two trillion, ten billion, one hundred twelve million, one hundred two thousand, eleven".