21000100221011 has 2 divisors, whose sum is σ = 21000100221012. Its totient is φ = 21000100221010.

The previous prime is 21000100220993. The next prime is 21000100221071. The reversal of 21000100221011 is 11012200100012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 21000100221011 - 2¹⁸ = 21000099958867 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 21000100220983 and 21000100221001.

It is not a weakly prime, because it can be changed into another prime (21000100221071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500050110505 + 10500050110506.

It is an arithmetic number, because the mean of its divisors is an integer number (10500050110506).

Almost surely, 2^{21000100221011} is an apocalyptic number.

21000100221011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000100221011 is an equidigital number, since it uses as much as digits as its factorization.

21000100221011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21000100221011 its reverse (11012200100012), we get a palindrome (32012300321023).

The spelling of 21000100221011 in words is "twenty-one trillion, one hundred million, two hundred twenty-one thousand, eleven".