12100210000121 has 16 divisors (see below), whose sum is σ = 12191301738000. Its totient is φ = 12009542658048.

The previous prime is 12100210000117. The next prime is 12100210000129. The reversal of 12100210000121 is 12100001200121.

It can be written as a sum of positive squares in 8 ways, for example, as 2421509454400 + 9678700545721 = 1556120^2 + 3111061^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100210000121 - 2² = 12100210000117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100210000129) 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 in 15 ways as a sum of consecutive naturals, for example, 78778205 + ... + 78931653.

It is an arithmetic number, because the mean of its divisors is an integer number (761956358625).

Almost surely, 2^{12100210000121} is an apocalyptic number.

It is an amenable number.

12100210000121 is a deficient number, since it is larger than the sum of its proper divisors (91091737879).

12100210000121 is a wasteful number, since it uses less digits than its factorization.

12100210000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154828.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100210000121 its reverse (12100001200121), we get a palindrome (24200211200242).

The spelling of 12100210000121 in words is "twelve trillion, one hundred billion, two hundred ten million, one hundred twenty-one", and thus it is an aban number.