101668381289477 has 2 divisors, whose sum is σ = 101668381289478. Its totient is φ = 101668381289476.

The previous prime is 101668381289441. The next prime is 101668381289479. The reversal of 101668381289477 is 774982183866101.

It is a Cunningham number, because it is equal to 10083074²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101668381289476 + 1 = 10083074^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 101668381289477 - 2³⁶ = 101599661812741 is a prime.

Together with 101668381289479, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101668381289477.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101668381289479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50834190644738 + 50834190644739.

It is an arithmetic number, because the mean of its divisors is an integer number (50834190644739).

Almost surely, 2^{101668381289477} is an apocalyptic number.

It is an amenable number.

101668381289477 is a deficient number, since it is larger than the sum of its proper divisors (1).

101668381289477 is an equidigital number, since it uses as much as digits as its factorization.

101668381289477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 195084288, while the sum is 71.

The spelling of 101668381289477 in words is "one hundred one trillion, six hundred sixty-eight billion, three hundred eighty-one million, two hundred eighty-nine thousand, four hundred seventy-seven".