101054353217 has 2 divisors, whose sum is σ = 101054353218. Its totient is φ = 101054353216.

The previous prime is 101054353207. The next prime is 101054353237. The reversal of 101054353217 is 712353450101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100362873601 + 691479616 = 316801^2 + 26296^2 .

It is an emirp because it is prime and its reverse (712353450101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101054353217 - 2⁸ = 101054352961 is a prime.

It is not a weakly prime, because it can be changed into another prime (101054353207) 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, 50527176608 + 50527176609.

It is an arithmetic number, because the mean of its divisors is an integer number (50527176609).

Almost surely, 2^101054353217 is an apocalyptic number.

It is an amenable number.

101054353217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101054353217 is an equidigital number, since it uses as much as digits as its factorization.

101054353217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 101054353217 in words is "one hundred one billion, fifty-four million, three hundred fifty-three thousand, two hundred seventeen".