1000102221017 has 2 divisors, whose sum is σ = 1000102221018. Its totient is φ = 1000102221016.

The previous prime is 1000102220989. The next prime is 1000102221073. The reversal of 1000102221017 is 7101222010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999418084681 + 684136336 = 999709^2 + 26156^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102221017 - 2¹² = 1000102216921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000102220986 and 1000102221004.

It is not a weakly prime, because it can be changed into another prime (1000102220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051110508 + 500051110509.

It is an arithmetic number, because the mean of its divisors is an integer number (500051110509).

Almost surely, 2^{1000102221017} is an apocalyptic number.

It is an amenable number.

1000102221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102221017 is an equidigital number, since it uses as much as digits as its factorization.

1000102221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 1000102221017 its reverse (7101222010001), we get a palindrome (8101324231018).

The spelling of 1000102221017 in words is "one trillion, one hundred two million, two hundred twenty-one thousand, seventeen".