102114011 has 2 divisors, whose sum is σ = 102114012. Its totient is φ = 102114010.

The previous prime is 102113993. The next prime is 102114013. The reversal of 102114011 is 110411201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102114011 - 2²⁶ = 35005147 is a prime.

It is a Sophie Germain prime.

Together with 102114013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102113983 and 102114001.

It is not a weakly prime, because it can be changed into another prime (102114013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51057005 + 51057006.

It is an arithmetic number, because the mean of its divisors is an integer number (51057006).

Almost surely, 2^102114011 is an apocalyptic number.

102114011 is a deficient number, since it is larger than the sum of its proper divisors (1).

102114011 is an equidigital number, since it uses as much as digits as its factorization.

102114011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 102114011 is about 10105.1477475592. The cubic root of 102114011 is about 467.4068919594.

Adding to 102114011 its reverse (110411201), we get a palindrome (212525212).

The spelling of 102114011 in words is "one hundred two million, one hundred fourteen thousand, eleven".