20000002122101 has 2 divisors, whose sum is σ = 20000002122102. Its totient is φ = 20000002122100.

The previous prime is 20000002122077. The next prime is 20000002122227. The reversal of 20000002122101 is 10122120000002.

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., 18350385550225 + 1649616571876 = 4283735^2 + 1284374^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000002122101 - 2²⁶ = 19999935013237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000002142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000001061050 + 10000001061051.

It is an arithmetic number, because the mean of its divisors is an integer number (10000001061051).

Almost surely, 2^{20000002122101} is an apocalyptic number.

It is an amenable number.

20000002122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000002122101 is an equidigital number, since it uses as much as digits as its factorization.

20000002122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20000002122101 its reverse (10122120000002), we get a palindrome (30122122122103).

The spelling of 20000002122101 in words is "twenty trillion, two million, one hundred twenty-two thousand, one hundred one".