102002210871137 has 2 divisors, whose sum is σ = 102002210871138. Its totient is φ = 102002210871136.

The previous prime is 102002210871079. The next prime is 102002210871151. The reversal of 102002210871137 is 731178012200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101613335158336 + 388875712801 = 10080344^2 + 623599^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002210871137 - 2¹² = 102002210867041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102002210871097 and 102002210871106.

It is not a weakly prime, because it can be changed into another prime (102002210871037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51001105435568 + 51001105435569.

It is an arithmetic number, because the mean of its divisors is an integer number (51001105435569).

Almost surely, 2^{102002210871137} is an apocalyptic number.

It is an amenable number.

102002210871137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002210871137 is an equidigital number, since it uses as much as digits as its factorization.

102002210871137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 102002210871137 in words is "one hundred two trillion, two billion, two hundred ten million, eight hundred seventy-one thousand, one hundred thirty-seven".