101563421777 has 2 divisors, whose sum is σ = 101563421778. Its totient is φ = 101563421776.

The previous prime is 101563421723. The next prime is 101563421779. The reversal of 101563421777 is 777124365101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101169161041 + 394260736 = 318071^2 + 19856^2 .

It is a cyclic number.

It is not a de Polignac number, because 101563421777 - 2¹⁰ = 101563420753 is a prime.

Together with 101563421779, 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 (101563421779) 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, 50781710888 + 50781710889.

It is an arithmetic number, because the mean of its divisors is an integer number (50781710889).

Almost surely, 2^101563421777 is an apocalyptic number.

It is an amenable number.

101563421777 is a deficient number, since it is larger than the sum of its proper divisors (1).

101563421777 is an equidigital number, since it uses as much as digits as its factorization.

101563421777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 44.

Adding to 101563421777 its reverse (777124365101), we get a palindrome (878687786878).

The spelling of 101563421777 in words is "one hundred one billion, five hundred sixty-three million, four hundred twenty-one thousand, seven hundred seventy-seven".