101110866783257 has 2 divisors, whose sum is σ = 101110866783258. Its totient is φ = 101110866783256.

The previous prime is 101110866783229. The next prime is 101110866783263. The reversal of 101110866783257 is 752387668011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98787617126416 + 2323249656841 = 9939196^2 + 1524221^2 .

It is an emirp because it is prime and its reverse (752387668011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110866783257 - 2⁶ = 101110866783193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110866782257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555433391628 + 50555433391629.

It is an arithmetic number, because the mean of its divisors is an integer number (50555433391629).

Almost surely, 2^{101110866783257} is an apocalyptic number.

It is an amenable number.

101110866783257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110866783257 is an equidigital number, since it uses as much as digits as its factorization.

101110866783257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 101110866783257 in words is "one hundred one trillion, one hundred ten billion, eight hundred sixty-six million, seven hundred eighty-three thousand, two hundred fifty-seven".