101668381289441 has 2 divisors, whose sum is σ = 101668381289442. Its totient is φ = 101668381289440.

The previous prime is 101668381289291. The next prime is 101668381289477. The reversal of 101668381289441 is 144982183866101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91380292964416 + 10288088325025 = 9559304^2 + 3207505^2 .

It is an emirp because it is prime and its reverse (144982183866101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101668381289441 is a prime.

It is not a weakly prime, because it can be changed into another prime (101668381789441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50834190644720 + 50834190644721.

It is an arithmetic number, because the mean of its divisors is an integer number (50834190644721).

Almost surely, 2^{101668381289441} is an apocalyptic number.

It is an amenable number.

101668381289441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101668381289441 is an equidigital number, since it uses as much as digits as its factorization.

101668381289441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15925248, while the sum is 62.

The spelling of 101668381289441 in words is "one hundred one trillion, six hundred sixty-eight billion, three hundred eighty-one million, two hundred eighty-nine thousand, four hundred forty-one".