2010012010117 has 2 divisors, whose sum is σ = 2010012010118. Its totient is φ = 2010012010116.

The previous prime is 2010012010087. The next prime is 2010012010133. The reversal of 2010012010117 is 7110102100102.

It is an a-pointer prime, because the next prime (2010012010133) can be obtained adding 2010012010117 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1672868039236 + 337143970881 = 1293394^2 + 580641^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010012010117 - 2⁷ = 2010012009989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2010012010117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010012010417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005006005058 + 1005006005059.

It is an arithmetic number, because the mean of its divisors is an integer number (1005006005059).

Almost surely, 2^{2010012010117} is an apocalyptic number.

It is an amenable number.

2010012010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010012010117 is an equidigital number, since it uses as much as digits as its factorization.

2010012010117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 2010012010117 its reverse (7110102100102), we get a palindrome (9120114110219).

The spelling of 2010012010117 in words is "two trillion, ten billion, twelve million, ten thousand, one hundred seventeen".