100100011101263 has 2 divisors, whose sum is σ = 100100011101264. Its totient is φ = 100100011101262.

The previous prime is 100100011101151. The next prime is 100100011101289. The reversal of 100100011101263 is 362101110001001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100011101263 - 2⁸ = 100100011101007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100011100263) 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, 50050005550631 + 50050005550632.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005550632).

Almost surely, 2^{100100011101263} is an apocalyptic number.

100100011101263 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011101263 is an equidigital number, since it uses as much as digits as its factorization.

100100011101263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100100011101263 its reverse (362101110001001), we get a palindrome (462201121102264).

The spelling of 100100011101263 in words is "one hundred trillion, one hundred billion, eleven million, one hundred one thousand, two hundred sixty-three".