21211002012001 has 2 divisors, whose sum is σ = 21211002012002. Its totient is φ = 21211002012000.

The previous prime is 21211002011911. The next prime is 21211002012041. The reversal of 21211002012001 is 10021020011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11332244995600 + 9878757016401 = 3366340^2 + 3143049^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211002012001 - 2⁹ = 21211002011489 is a prime.

It is a super-2 number, since 2×21211002012001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21211002012041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605501006000 + 10605501006001.

It is an arithmetic number, because the mean of its divisors is an integer number (10605501006001).

Almost surely, 2^{21211002012001} is an apocalyptic number.

It is an amenable number.

21211002012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211002012001 is an equidigital number, since it uses as much as digits as its factorization.

21211002012001 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 21211002012001 its reverse (10021020011212), we get a palindrome (31232022023213).

The spelling of 21211002012001 in words is "twenty-one trillion, two hundred eleven billion, two million, twelve thousand, one".