101224141409 has 2 divisors, whose sum is σ = 101224141410. Its totient is φ = 101224141408.

The previous prime is 101224141399. The next prime is 101224141441. The reversal of 101224141409 is 904141422101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101185701409 + 38440000 = 318097^2 + 6200^2 .

It is an emirp because it is prime and its reverse (904141422101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101224141409 - 2⁴ = 101224141393 is a prime.

It is not a weakly prime, because it can be changed into another prime (101224141309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50612070704 + 50612070705.

It is an arithmetic number, because the mean of its divisors is an integer number (50612070705).

Almost surely, 2^101224141409 is an apocalyptic number.

It is an amenable number.

101224141409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101224141409 is an equidigital number, since it uses as much as digits as its factorization.

101224141409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 101224141409 in words is "one hundred one billion, two hundred twenty-four million, one hundred forty-one thousand, four hundred nine".