2002011212101 has 2 divisors, whose sum is σ = 2002011212102. Its totient is φ = 2002011212100.

The previous prime is 2002011212081. The next prime is 2002011212111. The reversal of 2002011212101 is 1012121102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1084984723876 + 917026488225 = 1041626^2 + 957615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002011212101 - 2¹³ = 2002011203909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002011212111) 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, 1001005606050 + 1001005606051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001005606051).

Almost surely, 2^{2002011212101} is an apocalyptic number.

It is an amenable number.

2002011212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002011212101 is an equidigital number, since it uses as much as digits as its factorization.

2002011212101 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 13.

Adding to 2002011212101 its reverse (1012121102002), we get a palindrome (3014132314103).

The spelling of 2002011212101 in words is "two trillion, two billion, eleven million, two hundred twelve thousand, one hundred one".