102102318137 has 2 divisors, whose sum is σ = 102102318138. Its totient is φ = 102102318136.

The previous prime is 102102318103. The next prime is 102102318169. The reversal of 102102318137 is 731813201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93344914576 + 8757403561 = 305524^2 + 93581^2 .

It is an emirp because it is prime and its reverse (731813201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102318137 - 2⁸ = 102102317881 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102318337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051159068 + 51051159069.

It is an arithmetic number, because the mean of its divisors is an integer number (51051159069).

Almost surely, 2^102102318137 is an apocalyptic number.

It is an amenable number.

102102318137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102318137 is an equidigital number, since it uses as much as digits as its factorization.

102102318137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 102102318137 its reverse (731813201201), we get a palindrome (833915519338).

The spelling of 102102318137 in words is "one hundred two billion, one hundred two million, three hundred eighteen thousand, one hundred thirty-seven".