101110011202217 has 2 divisors, whose sum is σ = 101110011202218. Its totient is φ = 101110011202216.

The previous prime is 101110011202181. The next prime is 101110011202289. The reversal of 101110011202217 is 712202110011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70051191776281 + 31058819425936 = 8369659^2 + 5573044^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110011202217 - 2⁶ = 101110011202153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101118011202217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005601108 + 50555005601109.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005601109).

Almost surely, 2^{101110011202217} is an apocalyptic number.

It is an amenable number.

101110011202217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110011202217 is an equidigital number, since it uses as much as digits as its factorization.

101110011202217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 101110011202217 its reverse (712202110011101), we get a palindrome (813312121213318).

The spelling of 101110011202217 in words is "one hundred one trillion, one hundred ten billion, eleven million, two hundred two thousand, two hundred seventeen".