2010106026917 has 2 divisors, whose sum is σ = 2010106026918. Its totient is φ = 2010106026916.

The previous prime is 2010106026871. The next prime is 2010106026919. The reversal of 2010106026917 is 7196206010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1902989901121 + 107116125796 = 1379489^2 + 327286^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010106026917 - 2¹⁴ = 2010106010533 is a prime.

Together with 2010106026919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010106026919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005053013458 + 1005053013459.

It is an arithmetic number, because the mean of its divisors is an integer number (1005053013459).

Almost surely, 2^{2010106026917} is an apocalyptic number.

It is an amenable number.

2010106026917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010106026917 is an equidigital number, since it uses as much as digits as its factorization.

2010106026917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 2010106026917 in words is "two trillion, ten billion, one hundred six million, twenty-six thousand, nine hundred seventeen".