100221112010171 has 2 divisors, whose sum is σ = 100221112010172. Its totient is φ = 100221112010170.

The previous prime is 100221112010093. The next prime is 100221112010219. The reversal of 100221112010171 is 171010211122001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (171010211122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221112010171 - 2²² = 100221107815867 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (100221112012171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110556005085 + 50110556005086.

It is an arithmetic number, because the mean of its divisors is an integer number (50110556005086).

Almost surely, 2^{100221112010171} is an apocalyptic number.

100221112010171 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221112010171 is an equidigital number, since it uses as much as digits as its factorization.

100221112010171 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 20.

Adding to 100221112010171 its reverse (171010211122001), we get a palindrome (271231323132172).

The spelling of 100221112010171 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twelve million, ten thousand, one hundred seventy-one".