105215354334121 has 2 divisors, whose sum is σ = 105215354334122. Its totient is φ = 105215354334120.

The previous prime is 105215354334119. The next prime is 105215354334133. The reversal of 105215354334121 is 121433453512501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54921216483225 + 50294137850896 = 7410885^2 + 7091836^2 .

It is a cyclic number.

It is not a de Polignac number, because 105215354334121 - 2¹ = 105215354334119 is a prime.

It is a super-2 number, since 2×105215354334121² (a number of 29 digits) contains 22 as substring.

Together with 105215354334119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105215354334821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52607677167060 + 52607677167061.

It is an arithmetic number, because the mean of its divisors is an integer number (52607677167061).

Almost surely, 2^{105215354334121} is an apocalyptic number.

It is an amenable number.

105215354334121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105215354334121 is an equidigital number, since it uses as much as digits as its factorization.

105215354334121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 105215354334121 in words is "one hundred five trillion, two hundred fifteen billion, three hundred fifty-four million, three hundred thirty-four thousand, one hundred twenty-one".