212002002212101 has 2 divisors, whose sum is σ = 212002002212102. Its totient is φ = 212002002212100.

The previous prime is 212002002212083. The next prime is 212002002212137. The reversal of 212002002212101 is 101212200200212.

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., 130782073128001 + 81219929084100 = 11435999^2 + 9012210^2 .

It is a cyclic number.

It is not a de Polignac number, because 212002002212101 - 2⁹ = 212002002211589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212002002212171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001001106050 + 106001001106051.

It is an arithmetic number, because the mean of its divisors is an integer number (106001001106051).

Almost surely, 2^{212002002212101} is an apocalyptic number.

It is an amenable number.

212002002212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002002212101 is an equidigital number, since it uses as much as digits as its factorization.

212002002212101 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 16.

Adding to 212002002212101 its reverse (101212200200212), we get a palindrome (313214202412313).

The spelling of 212002002212101 in words is "two hundred twelve trillion, two billion, two million, two hundred twelve thousand, one hundred one".