101221122017 has 2 divisors, whose sum is σ = 101221122018. Its totient is φ = 101221122016.

The previous prime is 101221121959. The next prime is 101221122089. The reversal of 101221122017 is 710221122101.

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., 99765012736 + 1456109281 = 315856^2 + 38159^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221122017 - 2¹⁴ = 101221105633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101221122017.

It is not a weakly prime, because it can be changed into another prime (101221122217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610561008 + 50610561009.

It is an arithmetic number, because the mean of its divisors is an integer number (50610561009).

Almost surely, 2^101221122017 is an apocalyptic number.

It is an amenable number.

101221122017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221122017 is an equidigital number, since it uses as much as digits as its factorization.

101221122017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 101221122017 its reverse (710221122101), we get a palindrome (811442244118).

The spelling of 101221122017 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, seventeen".