1010106633017 has 2 divisors, whose sum is σ = 1010106633018. Its totient is φ = 1010106633016.

The previous prime is 1010106633007. The next prime is 1010106633083. The reversal of 1010106633017 is 7103366010101.

1010106633017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 908763730681 + 101342902336 = 953291^2 + 318344^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010106633017 - 2¹⁴ = 1010106616633 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010106633007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505053316508 + 505053316509.

It is an arithmetic number, because the mean of its divisors is an integer number (505053316509).

Almost surely, 2^{1010106633017} is an apocalyptic number.

It is an amenable number.

1010106633017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010106633017 is an equidigital number, since it uses as much as digits as its factorization.

1010106633017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 1010106633017 in words is "one trillion, ten billion, one hundred six million, six hundred thirty-three thousand, seventeen".