101110111121111 has 2 divisors, whose sum is σ = 101110111121112. Its totient is φ = 101110111121110.

The previous prime is 101110111121099. The next prime is 101110111121113. The reversal of 101110111121111 is 111121111011101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101110111121111 - 2¹⁰ = 101110111120087 is a prime.

Together with 101110111121113, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110111121113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055560555 + 50555055560556.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055560556).

Almost surely, 2^{101110111121111} is an apocalyptic number.

101110111121111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110111121111 is an equidigital number, since it uses as much as digits as its factorization.

101110111121111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 14.

Adding to 101110111121111 its reverse (111121111011101), we get a palindrome (212231222132212).

The spelling of 101110111121111 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, one hundred eleven".