105100113533221 has 2 divisors, whose sum is σ = 105100113533222. Its totient is φ = 105100113533220.

The previous prime is 105100113533203. The next prime is 105100113533267. The reversal of 105100113533221 is 122335311001501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88011397710721 + 17088715822500 = 9381439^2 + 4133850^2 .

It is a cyclic number.

It is not a de Polignac number, because 105100113533221 - 2⁵ = 105100113533189 is a prime.

It is a super-2 number, since 2×105100113533221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105100113533221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100113533521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550056766610 + 52550056766611.

It is an arithmetic number, because the mean of its divisors is an integer number (52550056766611).

Almost surely, 2^{105100113533221} is an apocalyptic number.

It is an amenable number.

105100113533221 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100113533221 is an equidigital number, since it uses as much as digits as its factorization.

105100113533221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

Adding to 105100113533221 its reverse (122335311001501), we get a palindrome (227435424534722).

The spelling of 105100113533221 in words is "one hundred five trillion, one hundred billion, one hundred thirteen million, five hundred thirty-three thousand, two hundred twenty-one".