101231112127 has 2 divisors, whose sum is σ = 101231112128. Its totient is φ = 101231112126.

The previous prime is 101231112109. The next prime is 101231112133. The reversal of 101231112127 is 721211132101.

It is a strong prime.

It is an emirp because it is prime and its reverse (721211132101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101231112127 - 2¹⁹ = 101230587839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101231112098 and 101231112107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101231112137) 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, 50615556063 + 50615556064.

It is an arithmetic number, because the mean of its divisors is an integer number (50615556064).

Almost surely, 2^101231112127 is an apocalyptic number.

101231112127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231112127 is an equidigital number, since it uses as much as digits as its factorization.

101231112127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 101231112127 its reverse (721211132101), we get a palindrome (822442244228).

The spelling of 101231112127 in words is "one hundred one billion, two hundred thirty-one million, one hundred twelve thousand, one hundred twenty-seven".