100111110311 has 2 divisors, whose sum is σ = 100111110312. Its totient is φ = 100111110310.

The previous prime is 100111110301. The next prime is 100111110343. The reversal of 100111110311 is 113011111001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111110311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111110292 and 100111110301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111110301) 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, 50055555155 + 50055555156.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555156).

Almost surely, 2^100111110311 is an apocalyptic number.

100111110311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110311 is an equidigital number, since it uses as much as digits as its factorization.

100111110311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 100111110311 its reverse (113011111001), we get a palindrome (213122221312).

The spelling of 100111110311 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, three hundred eleven".