102221330017133 has 2 divisors, whose sum is σ = 102221330017134. Its totient is φ = 102221330017132.

The previous prime is 102221330017123. The next prime is 102221330017193. The reversal of 102221330017133 is 331710033122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100626317625289 + 1595012391844 = 10031267^2 + 1262938^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221330017133 - 2²⁰ = 102221328968557 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 = 102221330017096 and 102221330017105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221330017123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110665008566 + 51110665008567.

It is an arithmetic number, because the mean of its divisors is an integer number (51110665008567).

Almost surely, 2^{102221330017133} is an apocalyptic number.

It is an amenable number.

102221330017133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221330017133 is an equidigital number, since it uses as much as digits as its factorization.

102221330017133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 102221330017133 its reverse (331710033122201), we get a palindrome (433931363139334).

The spelling of 102221330017133 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred thirty million, seventeen thousand, one hundred thirty-three".