102021211112017 has 2 divisors, whose sum is σ = 102021211112018. Its totient is φ = 102021211112016.

The previous prime is 102021211111979. The next prime is 102021211112039. The reversal of 102021211112017 is 710211112120201.

It is an a-pointer prime, because the next prime (102021211112039) can be obtained adding 102021211112017 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53450779488016 + 48570431624001 = 7311004^2 + 6969249^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021211112017 - 2¹⁹ = 102021210587729 is a prime.

It is not a weakly prime, because it can be changed into another prime (102021211182017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010605556008 + 51010605556009.

It is an arithmetic number, because the mean of its divisors is an integer number (51010605556009).

Almost surely, 2^{102021211112017} is an apocalyptic number.

It is an amenable number.

102021211112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021211112017 is an equidigital number, since it uses as much as digits as its factorization.

102021211112017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 102021211112017 its reverse (710211112120201), we get a palindrome (812232323232218).

The spelling of 102021211112017 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred twelve thousand, seventeen".