102102001011217 has 2 divisors, whose sum is σ = 102102001011218. Its totient is φ = 102102001011216.

The previous prime is 102102001011167. The next prime is 102102001011293. The reversal of 102102001011217 is 712110100201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77016087326161 + 25085913685056 = 8775881^2 + 5008584^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102001011217 - 2¹⁵ = 102102000978449 is a prime.

It is a super-2 number, since 2×102102001011217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102001011194 and 102102001011203.

It is not a weakly prime, because it can be changed into another prime (102102001041217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051000505608 + 51051000505609.

It is an arithmetic number, because the mean of its divisors is an integer number (51051000505609).

Almost surely, 2^{102102001011217} is an apocalyptic number.

It is an amenable number.

102102001011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102001011217 is an equidigital number, since it uses as much as digits as its factorization.

102102001011217 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 19.

Adding to 102102001011217 its reverse (712110100201201), we get a palindrome (814212101212418).

The spelling of 102102001011217 in words is "one hundred two trillion, one hundred two billion, one million, eleven thousand, two hundred seventeen".