100111112111 has 2 divisors, whose sum is σ = 100111112112. Its totient is φ = 100111112110.

The previous prime is 100111112107. The next prime is 100111112131. The reversal of 100111112111 is 111211111001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111112111 - 2² = 100111112107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111112092 and 100111112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111112131) 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, 50055556055 + 50055556056.

It is an arithmetic number, because the mean of its divisors is an integer number (50055556056).

Almost surely, 2^100111112111 is an apocalyptic number.

100111112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111112111 is an equidigital number, since it uses as much as digits as its factorization.

100111112111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111112111 its reverse (111211111001), we get a palindrome (211322223112).

The spelling of 100111112111 in words is "one hundred billion, one hundred eleven million, one hundred twelve thousand, one hundred eleven".