2010121112113 has 2 divisors, whose sum is σ = 2010121112114. Its totient is φ = 2010121112112.

The previous prime is 2010121112099. The next prime is 2010121112177. The reversal of 2010121112113 is 3112111210102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1888007906304 + 122113205809 = 1374048^2 + 349447^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010121112113 - 2²¹ = 2010119014961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010121112183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005060556056 + 1005060556057.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060556057).

Almost surely, 2^{2010121112113} is an apocalyptic number.

It is an amenable number.

2010121112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010121112113 is an equidigital number, since it uses as much as digits as its factorization.

2010121112113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2010121112113 its reverse (3112111210102), we get a palindrome (5122232322215).

The spelling of 2010121112113 in words is "two trillion, ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred thirteen".