105210221133049 has 2 divisors, whose sum is σ = 105210221133050. Its totient is φ = 105210221133048.

The previous prime is 105210221133047. The next prime is 105210221133287. The reversal of 105210221133049 is 940331122012501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89749911691449 + 15460309441600 = 9473643^2 + 3931960^2 .

It is a cyclic number.

It is not a de Polignac number, because 105210221133049 - 2¹ = 105210221133047 is a prime.

It is a super-2 number, since 2×105210221133049² (a number of 29 digits) contains 22 as substring.

Together with 105210221133047, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105210221133047) 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, 52605110566524 + 52605110566525.

It is an arithmetic number, because the mean of its divisors is an integer number (52605110566525).

Almost surely, 2^{105210221133049} is an apocalyptic number.

It is an amenable number.

105210221133049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210221133049 is an equidigital number, since it uses as much as digits as its factorization.

105210221133049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 105210221133049 in words is "one hundred five trillion, two hundred ten billion, two hundred twenty-one million, one hundred thirty-three thousand, forty-nine".