444304312121101 has 2 divisors, whose sum is σ = 444304312121102. Its totient is φ = 444304312121100.

The previous prime is 444304312120997. The next prime is 444304312121123. The reversal of 444304312121101 is 101121213403444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 444216533838025 + 87778283076 = 21076445^2 + 296274^2 .

It is a cyclic number.

It is not a de Polignac number, because 444304312121101 - 2¹⁷ = 444304311990029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444304312121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222152156060550 + 222152156060551.

It is an arithmetic number, because the mean of its divisors is an integer number (222152156060551).

Almost surely, 2^{444304312121101} is an apocalyptic number.

It is an amenable number.

444304312121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

444304312121101 is an equidigital number, since it uses as much as digits as its factorization.

444304312121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 444304312121101 its reverse (101121213403444), we get a palindrome (545425525524545).

The spelling of 444304312121101 in words is "four hundred forty-four trillion, three hundred four billion, three hundred twelve million, one hundred twenty-one thousand, one hundred one".