221001100001117 has 2 divisors, whose sum is σ = 221001100001118. Its totient is φ = 221001100001116.

The previous prime is 221001100001093. The next prime is 221001100001161. The reversal of 221001100001117 is 711100001100122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220126212895801 + 874887105316 = 14836651^2 + 935354^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001100001117 - 2⁴² = 216603053490013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221001100001095 and 221001100001104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221001100004117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500550000558 + 110500550000559.

It is an arithmetic number, because the mean of its divisors is an integer number (110500550000559).

Almost surely, 2^{221001100001117} is an apocalyptic number.

It is an amenable number.

221001100001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001100001117 is an equidigital number, since it uses as much as digits as its factorization.

221001100001117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 221001100001117 its reverse (711100001100122), we get a palindrome (932101101101239).

The spelling of 221001100001117 in words is "two hundred twenty-one trillion, one billion, one hundred million, one thousand, one hundred seventeen".