102111029 has 2 divisors, whose sum is σ = 102111030. Its totient is φ = 102111028.

The previous prime is 102110971. The next prime is 102111047. The reversal of 102111029 is 920111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102111025 + 4 = 10105^2 + 2^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102110998 and 102111016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111049) 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, 51055514 + 51055515.

It is an arithmetic number, because the mean of its divisors is an integer number (51055515).

Almost surely, 2^102111029 is an apocalyptic number.

It is an amenable number.

102111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111029 is an equidigital number, since it uses as much as digits as its factorization.

102111029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 102111029 is about 10105.0001979218. Note that the first 3 decimals coincide. The cubic root of 102111029 is about 467.4023420747.

The spelling of 102111029 in words is "one hundred two million, one hundred eleven thousand, twenty-nine".