101100866782273 has 2 divisors, whose sum is σ = 101100866782274. Its totient is φ = 101100866782272.

The previous prime is 101100866782259. The next prime is 101100866782337. The reversal of 101100866782273 is 372287668001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90068318527489 + 11032548254784 = 9490433^2 + 3321528^2 .

It is an emirp because it is prime and its reverse (372287668001101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100866782273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100866782273.

It is not a weakly prime, because it can be changed into another prime (101100866782213) 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, 50550433391136 + 50550433391137.

It is an arithmetic number, because the mean of its divisors is an integer number (50550433391137).

Almost surely, 2^{101100866782273} is an apocalyptic number.

It is an amenable number.

101100866782273 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100866782273 is an equidigital number, since it uses as much as digits as its factorization.

101100866782273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 101100866782273 in words is "one hundred one trillion, one hundred billion, eight hundred sixty-six million, seven hundred eighty-two thousand, two hundred seventy-three".