20122001221121 has 2 divisors, whose sum is σ = 20122001221122. Its totient is φ = 20122001221120.

The previous prime is 20122001221057. The next prime is 20122001221177. The reversal of 20122001221121 is 12112210022102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16942773145600 + 3179228075521 = 4116160^2 + 1783039^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122001221121 - 2⁶ = 20122001221057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20122001221121.

It is not a weakly prime, because it can be changed into another prime (20122003221121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061000610560 + 10061000610561.

It is an arithmetic number, because the mean of its divisors is an integer number (10061000610561).

Almost surely, 2^{20122001221121} is an apocalyptic number.

It is an amenable number.

20122001221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122001221121 is an equidigital number, since it uses as much as digits as its factorization.

20122001221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20122001221121 its reverse (12112210022102), we get a palindrome (32234211243223).

The spelling of 20122001221121 in words is "twenty trillion, one hundred twenty-two billion, one million, two hundred twenty-one thousand, one hundred twenty-one".