2010112110121 has 2 divisors, whose sum is σ = 2010112110122. Its totient is φ = 2010112110120.

The previous prime is 2010112110107. The next prime is 2010112110151. The reversal of 2010112110121 is 1210112110102.

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., 1952137101721 + 57975008400 = 1397189^2 + 240780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010112110121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010112110151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005056055060 + 1005056055061.

It is an arithmetic number, because the mean of its divisors is an integer number (1005056055061).

Almost surely, 2^{2010112110121} is an apocalyptic number.

It is an amenable number.

2010112110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010112110121 is an equidigital number, since it uses as much as digits as its factorization.

2010112110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2010112110121 its reverse (1210112110102), we get a palindrome (3220224220223).

It can be divided in two parts, 201011 and 2110121, that added together give a palindrome (2311132).

The spelling of 2010112110121 in words is "two trillion, ten billion, one hundred twelve million, one hundred ten thousand, one hundred twenty-one".