100110100011083 has 2 divisors, whose sum is σ = 100110100011084. Its totient is φ = 100110100011082.

The previous prime is 100110100011043. The next prime is 100110100011101. The reversal of 100110100011083 is 380110001011001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100110100011083 - 2³² = 100105805043787 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110100011043) 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, 50055050005541 + 50055050005542.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050005542).

Almost surely, 2^{100110100011083} is an apocalyptic number.

100110100011083 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110100011083 is an equidigital number, since it uses as much as digits as its factorization.

100110100011083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100110100011083 its reverse (380110001011001), we get a palindrome (480220101022084).

The spelling of 100110100011083 in words is "one hundred trillion, one hundred ten billion, one hundred million, eleven thousand, eighty-three".