102133217 has 2 divisors, whose sum is σ = 102133218. Its totient is φ = 102133216.

The previous prime is 102133211. The next prime is 102133219. The reversal of 102133217 is 712331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54302161 + 47831056 = 7369^2 + 6916^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133217 - 2¹⁰ = 102132193 is a prime.

Together with 102133219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102133211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066608 + 51066609.

It is an arithmetic number, because the mean of its divisors is an integer number (51066609).

Almost surely, 2^102133217 is an apocalyptic number.

It is an amenable number.

102133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133217 is an equidigital number, since it uses as much as digits as its factorization.

102133217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 102133217 is about 10106.0980106073. The cubic root of 102133217 is about 467.4361940239.

Adding to 102133217 its reverse (712331201), we get a palindrome (814464418).

The spelling of 102133217 in words is "one hundred two million, one hundred thirty-three thousand, two hundred seventeen".