101332218027809 has 2 divisors, whose sum is σ = 101332218027810. Its totient is φ = 101332218027808.

The previous prime is 101332218027791. The next prime is 101332218027811. The reversal of 101332218027809 is 908720812233101.

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., 88962246720400 + 12369971307409 = 9431980^2 + 3517097^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332218027809 - 2⁸ = 101332218027553 is a prime.

Together with 101332218027811, 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 (101332218027409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666109013904 + 50666109013905.

It is an arithmetic number, because the mean of its divisors is an integer number (50666109013905).

Almost surely, 2^{101332218027809} is an apocalyptic number.

It is an amenable number.

101332218027809 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332218027809 is an equidigital number, since it uses as much as digits as its factorization.

101332218027809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 101332218027809 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred eighteen million, twenty-seven thousand, eight hundred nine".