2120110013017 has 2 divisors, whose sum is σ = 2120110013018. Its totient is φ = 2120110013016.

The previous prime is 2120110012973. The next prime is 2120110013023. The reversal of 2120110013017 is 7103100110212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2116047352896 + 4062660121 = 1454664^2 + 63739^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120110013017 - 2¹¹ = 2120110010969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120110012985 and 2120110013003.

It is not a weakly prime, because it can be changed into another prime (2120110013117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060055006508 + 1060055006509.

It is an arithmetic number, because the mean of its divisors is an integer number (1060055006509).

Almost surely, 2^{2120110013017} is an apocalyptic number.

It is an amenable number.

2120110013017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120110013017 is an equidigital number, since it uses as much as digits as its factorization.

2120110013017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 2120110013017 its reverse (7103100110212), we get a palindrome (9223210123229).

The spelling of 2120110013017 in words is "two trillion, one hundred twenty billion, one hundred ten million, thirteen thousand, seventeen".