105522040121 has 2 divisors, whose sum is σ = 105522040122. Its totient is φ = 105522040120.

The previous prime is 105522040079. The next prime is 105522040139. The reversal of 105522040121 is 121040225501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104506725625 + 1015314496 = 323275^2 + 31864^2 .

It is a cyclic number.

It is not a de Polignac number, because 105522040121 - 2³⁴ = 88342170937 is a prime.

It is a super-2 number, since 2×105522040121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105522045121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761020060 + 52761020061.

It is an arithmetic number, because the mean of its divisors is an integer number (52761020061).

Almost surely, 2^105522040121 is an apocalyptic number.

It is an amenable number.

105522040121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105522040121 is an equidigital number, since it uses as much as digits as its factorization.

105522040121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 105522040121 its reverse (121040225501), we get a palindrome (226562265622).

The spelling of 105522040121 in words is "one hundred five billion, five hundred twenty-two million, forty thousand, one hundred twenty-one".