101110866782257 has 2 divisors, whose sum is σ = 101110866782258. Its totient is φ = 101110866782256.

The previous prime is 101110866782231. The next prime is 101110866782327. The reversal of 101110866782257 is 752287668011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100372325922801 + 738540859456 = 10018599^2 + 859384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110866782257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110866782198 and 101110866782207.

It is not a weakly prime, because it can be changed into another prime (101110866783257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555433391128 + 50555433391129.

It is an arithmetic number, because the mean of its divisors is an integer number (50555433391129).

Almost surely, 2^{101110866782257} is an apocalyptic number.

It is an amenable number.

101110866782257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110866782257 is an equidigital number, since it uses as much as digits as its factorization.

101110866782257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2257920, while the sum is 55.

The spelling of 101110866782257 in words is "one hundred one trillion, one hundred ten billion, eight hundred sixty-six million, seven hundred eighty-two thousand, two hundred fifty-seven".