102111110002217 has 2 divisors, whose sum is σ = 102111110002218. Its totient is φ = 102111110002216.

The previous prime is 102111110002199. The next prime is 102111110002247. The reversal of 102111110002217 is 712200011111201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99273404668816 + 2837705333401 = 9963604^2 + 1684549^2 .

It is an emirp because it is prime and its reverse (712200011111201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102111110002217 - 2³⁴ = 102093930133033 is a prime.

It is a super-3 number, since 3×102111110002217³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102111110002247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055555001108 + 51055555001109.

It is an arithmetic number, because the mean of its divisors is an integer number (51055555001109).

Almost surely, 2^{102111110002217} is an apocalyptic number.

It is an amenable number.

102111110002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111110002217 is an equidigital number, since it uses as much as digits as its factorization.

102111110002217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 102111110002217 its reverse (712200011111201), we get a palindrome (814311121113418).

The spelling of 102111110002217 in words is "one hundred two trillion, one hundred eleven billion, one hundred ten million, two thousand, two hundred seventeen".