1020101309 has 2 divisors, whose sum is σ = 1020101310. Its totient is φ = 1020101308.

The previous prime is 1020101293. The next prime is 1020101321. The reversal of 1020101309 is 9031010201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003495684 + 16605625 = 31678^2 + 4075^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020101309 - 2⁴ = 1020101293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020131309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050654 + 510050655.

It is an arithmetic number, because the mean of its divisors is an integer number (510050655).

Almost surely, 2^1020101309 is an apocalyptic number.

It is an amenable number.

1020101309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020101309 is an equidigital number, since it uses as much as digits as its factorization.

1020101309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1020101309 is about 31939.0248598795. The cubic root of 1020101309 is about 1006.6560352346.

The spelling of 1020101309 in words is "one billion, twenty million, one hundred one thousand, three hundred nine".