102201202102217 has 2 divisors, whose sum is σ = 102201202102218. Its totient is φ = 102201202102216.

The previous prime is 102201202102201. The next prime is 102201202102231. The reversal of 102201202102217 is 712201202102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83961503628601 + 18239698473616 = 9163051^2 + 4270796^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201202102217 - 2⁴ = 102201202102201 is a prime.

It is a super-2 number, since 2×102201202102217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201202102192 and 102201202102201.

It is not a weakly prime, because it can be changed into another prime (102201202102717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100601051108 + 51100601051109.

It is an arithmetic number, because the mean of its divisors is an integer number (51100601051109).

Almost surely, 2^{102201202102217} is an apocalyptic number.

It is an amenable number.

102201202102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201202102217 is an equidigital number, since it uses as much as digits as its factorization.

102201202102217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 102201202102217 its reverse (712201202102201), we get a palindrome (814402404204418).

The spelling of 102201202102217 in words is "one hundred two trillion, two hundred one billion, two hundred two million, one hundred two thousand, two hundred seventeen".