2000212212101 has 2 divisors, whose sum is σ = 2000212212102. Its totient is φ = 2000212212100.

The previous prime is 2000212212001. The next prime is 2000212212133. The reversal of 2000212212101 is 1012122120002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1992529864900 + 7682347201 = 1411570^2 + 87649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000212212101 - 2²⁶ = 2000145103237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000212212001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000106106050 + 1000106106051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106106051).

Almost surely, 2^{2000212212101} is an apocalyptic number.

It is an amenable number.

2000212212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000212212101 is an equidigital number, since it uses as much as digits as its factorization.

2000212212101 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 14.

Adding to 2000212212101 its reverse (1012122120002), we get a palindrome (3012334332103).

The spelling of 2000212212101 in words is "two trillion, two hundred twelve million, two hundred twelve thousand, one hundred one".