102112111110127 has 2 divisors, whose sum is σ = 102112111110128. Its totient is φ = 102112111110126.

The previous prime is 102112111110073. The next prime is 102112111110131. The reversal of 102112111110127 is 721011111211201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102112111110127 - 2²⁷ = 102111976892399 is a prime.

It is a super-2 number, since 2×102112111110127² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112111110098 and 102112111110107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112111110197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056055555063 + 51056055555064.

It is an arithmetic number, because the mean of its divisors is an integer number (51056055555064).

Almost surely, 2^{102112111110127} is an apocalyptic number.

102112111110127 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112111110127 is an equidigital number, since it uses as much as digits as its factorization.

102112111110127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 22.

Adding to 102112111110127 its reverse (721011111211201), we get a palindrome (823123222321328).

The spelling of 102112111110127 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-seven".