101010010000121 has 2 divisors, whose sum is σ = 101010010000122. Its totient is φ = 101010010000120.

The previous prime is 101010010000021. The next prime is 101010010000169. The reversal of 101010010000121 is 121000010010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93930211897600 + 7079798102521 = 9691760^2 + 2660789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010010000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010010000099 and 101010010000108.

It is not a weakly prime, because it can be changed into another prime (101010010000021) 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, 50505005000060 + 50505005000061.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005000061).

Almost surely, 2^{101010010000121} is an apocalyptic number.

It is an amenable number.

101010010000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010000121 is an equidigital number, since it uses as much as digits as its factorization.

101010010000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101010010000121 its reverse (121000010010101), we get a palindrome (222010020010222).

The spelling of 101010010000121 in words is "one hundred one trillion, ten billion, ten million, one hundred twenty-one", and thus it is an aban number.