21211020201001 has 2 divisors, whose sum is σ = 21211020201002. Its totient is φ = 21211020201000.

The previous prime is 21211020200977. The next prime is 21211020201103. The reversal of 21211020201001 is 10010202011212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17585609990400 + 3625410210601 = 4193520^2 + 1904051^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211020201001 - 2³⁷ = 21073581247529 is a prime.

It is not a weakly prime, because it can be changed into another prime (21211020201901) 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, 10605510100500 + 10605510100501.

It is an arithmetic number, because the mean of its divisors is an integer number (10605510100501).

Almost surely, 2^{21211020201001} is an apocalyptic number.

It is an amenable number.

21211020201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211020201001 is an equidigital number, since it uses as much as digits as its factorization.

21211020201001 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 21211020201001 its reverse (10010202011212), we get a palindrome (31221222212213).

The spelling of 21211020201001 in words is "twenty-one trillion, two hundred eleven billion, twenty million, two hundred one thousand, one".