100221101000017 has 2 divisors, whose sum is σ = 100221101000018. Its totient is φ = 100221101000016.

The previous prime is 100221100999991. The next prime is 100221101000107. The reversal of 100221101000017 is 710000101122001.

Together with next prime (100221101000107) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85883942834881 + 14337158165136 = 9267359^2 + 3786444^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221101000017 - 2³¹ = 100218953516369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221101009017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110550500008 + 50110550500009.

It is an arithmetic number, because the mean of its divisors is an integer number (50110550500009).

Almost surely, 2^{100221101000017} is an apocalyptic number.

It is an amenable number.

100221101000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221101000017 is an equidigital number, since it uses as much as digits as its factorization.

100221101000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 100221101000017 its reverse (710000101122001), we get a palindrome (810221202122018).

The spelling of 100221101000017 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, seventeen", and thus it is an aban number.