20122000002121 has 2 divisors, whose sum is σ = 20122000002122. Its totient is φ = 20122000002120.

The previous prime is 20122000002089. The next prime is 20122000002229. The reversal of 20122000002121 is 12120000022102.

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., 16188874131600 + 3933125870521 = 4023540^2 + 1983211^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122000002121 - 2⁵ = 20122000002089 is a prime.

It is not a weakly prime, because it can be changed into another prime (20122000062121) 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 as a sum of consecutive naturals, namely, 10061000001060 + 10061000001061.

It is an arithmetic number, because the mean of its divisors is an integer number (10061000001061).

Almost surely, 2^{20122000002121} is an apocalyptic number.

It is an amenable number.

20122000002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122000002121 is an equidigital number, since it uses as much as digits as its factorization.

20122000002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122000002121 its reverse (12120000022102), we get a palindrome (32242000024223).

The spelling of 20122000002121 in words is "twenty trillion, one hundred twenty-two billion, two thousand, one hundred twenty-one".