12121201102121 has 2 divisors, whose sum is σ = 12121201102122. Its totient is φ = 12121201102120.

The previous prime is 12121201102103. The next prime is 12121201102141. The reversal of 12121201102121 is 12120110212121.

12121201102121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7166730555625 + 4954470546496 = 2677075^2 + 2225864^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121201102121 - 2¹⁴ = 12121201085737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121201102121.

It is not a weakly prime, because it can be changed into another prime (12121201102141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060600551060 + 6060600551061.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600551061).

Almost surely, 2^{12121201102121} is an apocalyptic number.

It is an amenable number.

12121201102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121201102121 is an equidigital number, since it uses as much as digits as its factorization.

12121201102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12121201102121 its reverse (12120110212121), we get a palindrome (24241311314242).

The spelling of 12121201102121 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred two thousand, one hundred twenty-one".