101112111127 has 2 divisors, whose sum is σ = 101112111128. Its totient is φ = 101112111126.

The previous prime is 101112111077. The next prime is 101112111143. The reversal of 101112111127 is 721111211101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101112111127 - 2¹⁹ = 101111586839 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112114127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556055563 + 50556055564.

It is an arithmetic number, because the mean of its divisors is an integer number (50556055564).

Almost surely, 2^101112111127 is an apocalyptic number.

101112111127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112111127 is an equidigital number, since it uses as much as digits as its factorization.

101112111127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 101112111127 its reverse (721111211101), we get a palindrome (822223322228).

The spelling of 101112111127 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-seven".