21000200212001 has 2 divisors, whose sum is σ = 21000200212002. Its totient is φ = 21000200212000.

The previous prime is 21000200211917. The next prime is 21000200212007. The reversal of 21000200212001 is 10021200200012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20402746963600 + 597453248401 = 4516940^2 + 772951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21000200212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (21000200212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500100106000 + 10500100106001.

It is an arithmetic number, because the mean of its divisors is an integer number (10500100106001).

Almost surely, 2^{21000200212001} is an apocalyptic number.

It is an amenable number.

21000200212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000200212001 is an equidigital number, since it uses as much as digits as its factorization.

21000200212001 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 21000200212001 its reverse (10021200200012), we get a palindrome (31021400412013).

The spelling of 21000200212001 in words is "twenty-one trillion, two hundred million, two hundred twelve thousand, one".