101345200009 has 2 divisors, whose sum is σ = 101345200010. Its totient is φ = 101345200008.

The previous prime is 101345199947. The next prime is 101345200039. The reversal of 101345200009 is 900002543101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99006510409 + 2338689600 = 314653^2 + 48360^2 .

It is a cyclic number.

It is not a de Polignac number, because 101345200009 - 2⁷ = 101345199881 is a prime.

It is not a weakly prime, because it can be changed into another prime (101345200039) 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, 50672600004 + 50672600005.

It is an arithmetic number, because the mean of its divisors is an integer number (50672600005).

Almost surely, 2^101345200009 is an apocalyptic number.

It is an amenable number.

101345200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101345200009 is an equidigital number, since it uses as much as digits as its factorization.

101345200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 101345200009 in words is "one hundred one billion, three hundred forty-five million, two hundred thousand, nine".