101322130109609 has 2 divisors, whose sum is σ = 101322130109610. Its totient is φ = 101322130109608.

The previous prime is 101322130109593. The next prime is 101322130109611. The reversal of 101322130109609 is 906901031223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67194661645225 + 34127468464384 = 8197235^2 + 5841872^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322130109609 - 2⁴ = 101322130109593 is a prime.

Together with 101322130109611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101322130109009) 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, 50661065054804 + 50661065054805.

It is an arithmetic number, because the mean of its divisors is an integer number (50661065054805).

Almost surely, 2^{101322130109609} is an apocalyptic number.

It is an amenable number.

101322130109609 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322130109609 is an equidigital number, since it uses as much as digits as its factorization.

101322130109609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 38.

The spelling of 101322130109609 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty million, one hundred nine thousand, six hundred nine".