102112120127 has 2 divisors, whose sum is σ = 102112120128. Its totient is φ = 102112120126.

The previous prime is 102112120087. The next prime is 102112120141. The reversal of 102112120127 is 721021211201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102112120127 - 2⁸ = 102112119871 is a prime.

It is a super-2 number, since 2×102112120127² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112120099 and 102112120108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112120727) 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, 51056060063 + 51056060064.

It is an arithmetic number, because the mean of its divisors is an integer number (51056060064).

Almost surely, 2^102112120127 is an apocalyptic number.

102112120127 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112120127 is an equidigital number, since it uses as much as digits as its factorization.

102112120127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 102112120127 its reverse (721021211201), we get a palindrome (823133331328).

The spelling of 102112120127 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-seven".