10000110012121 has 2 divisors, whose sum is σ = 10000110012122. Its totient is φ = 10000110012120.

The previous prime is 10000110012097. The next prime is 10000110012163. The reversal of 10000110012121 is 12121001100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9811058972121 + 189051040000 = 3132261^2 + 434800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000110012121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000110012098 and 10000110012107.

It is not a weakly prime, because it can be changed into another prime (10000110012181) 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, 5000055006060 + 5000055006061.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055006061).

Almost surely, 2^{10000110012121} is an apocalyptic number.

It is an amenable number.

10000110012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000110012121 is an equidigital number, since it uses as much as digits as its factorization.

10000110012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000110012121 its reverse (12121001100001), we get a palindrome (22121111112122).

The spelling of 10000110012121 in words is "ten trillion, one hundred ten million, twelve thousand, one hundred twenty-one".