121212112221001 has 2 divisors, whose sum is σ = 121212112221002. Its totient is φ = 121212112221000.

The previous prime is 121212112220999. The next prime is 121212112221043. The reversal of 121212112221001 is 100122211212121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67417236640000 + 53794875581001 = 8210800^2 + 7334499^2 .

It is a cyclic number.

It is not a de Polignac number, because 121212112221001 - 2¹ = 121212112220999 is a prime.

It is a super-2 number, since 2×121212112221001² (a number of 29 digits) contains 22 as substring.

Together with 121212112220999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 121212112221001.

It is not a weakly prime, because it can be changed into another prime (121212112291001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60606056110500 + 60606056110501.

It is an arithmetic number, because the mean of its divisors is an integer number (60606056110501).

Almost surely, 2^{121212112221001} is an apocalyptic number.

It is an amenable number.

121212112221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121212112221001 is an equidigital number, since it uses as much as digits as its factorization.

121212112221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121212112221001 its reverse (100122211212121), we get a palindrome (221334323433122).

The spelling of 121212112221001 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand, one".