106104004211321 has 2 divisors, whose sum is σ = 106104004211322. Its totient is φ = 106104004211320.

The previous prime is 106104004211221. The next prime is 106104004211323. The reversal of 106104004211321 is 123112400401601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105465505729600 + 638498481721 = 10269640^2 + 799061^2 .

It is a cyclic number.

It is not a de Polignac number, because 106104004211321 - 2³⁴ = 106086824342137 is a prime.

It is a super-2 number, since 2×106104004211321² (a number of 29 digits) contains 22 as substring.

Together with 106104004211323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106104004211323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052002105660 + 53052002105661.

It is an arithmetic number, because the mean of its divisors is an integer number (53052002105661).

Almost surely, 2^{106104004211321} is an apocalyptic number.

It is an amenable number.

106104004211321 is a deficient number, since it is larger than the sum of its proper divisors (1).

106104004211321 is an equidigital number, since it uses as much as digits as its factorization.

106104004211321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 106104004211321 its reverse (123112400401601), we get a palindrome (229216404612922).

The spelling of 106104004211321 in words is "one hundred six trillion, one hundred four billion, four million, two hundred eleven thousand, three hundred twenty-one".