106006001100121 has 2 divisors, whose sum is σ = 106006001100122. Its totient is φ = 106006001100120.

The previous prime is 106006001100101. The next prime is 106006001100169. The reversal of 106006001100121 is 121001100600601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62220465120025 + 43785535980096 = 7887995^2 + 6617064^2 .

It is a cyclic number.

It is not a de Polignac number, because 106006001100121 - 2¹¹ = 106006001098073 is a prime.

It is a super-2 number, since 2×106006001100121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106006001100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53003000550060 + 53003000550061.

It is an arithmetic number, because the mean of its divisors is an integer number (53003000550061).

Almost surely, 2^{106006001100121} is an apocalyptic number.

It is an amenable number.

106006001100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006001100121 is an equidigital number, since it uses as much as digits as its factorization.

106006001100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 106006001100121 its reverse (121001100600601), we get a palindrome (227007101700722).

The spelling of 106006001100121 in words is "one hundred six trillion, six billion, one million, one hundred thousand, one hundred twenty-one".