102042221317 has 2 divisors, whose sum is σ = 102042221318. Its totient is φ = 102042221316.

The previous prime is 102042221293. The next prime is 102042221341. The reversal of 102042221317 is 713122240201.

It is a balanced prime because it is at equal distance from previous prime (102042221293) and next prime (102042221341).

It can be written as a sum of positive squares in only one way, i.e., 101280516516 + 761704801 = 318246^2 + 27599^2 .

It is a cyclic number.

It is not a de Polignac number, because 102042221317 - 2³⁵ = 67682482949 is a prime.

It is a super-2 number, since 2×102042221317² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102042221291 and 102042221300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102042221417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51021110658 + 51021110659.

It is an arithmetic number, because the mean of its divisors is an integer number (51021110659).

Almost surely, 2^102042221317 is an apocalyptic number.

It is an amenable number.

102042221317 is a deficient number, since it is larger than the sum of its proper divisors (1).

102042221317 is an equidigital number, since it uses as much as digits as its factorization.

102042221317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 102042221317 its reverse (713122240201), we get a palindrome (815164461518).

The spelling of 102042221317 in words is "one hundred two billion, forty-two million, two hundred twenty-one thousand, three hundred seventeen".