211211020020001 has 2 divisors, whose sum is σ = 211211020020002. Its totient is φ = 211211020020000.

The previous prime is 211211020019981. The next prime is 211211020020023. The reversal of 211211020020001 is 100020020112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199933915760401 + 11277104259600 = 14139799^2 + 3358140^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211020020001 - 2¹¹ = 211211020017953 is a prime.

It is a super-2 number, since 2×211211020020001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211020020061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605510010000 + 105605510010001.

It is an arithmetic number, because the mean of its divisors is an integer number (105605510010001).

Almost surely, 2^{211211020020001} is an apocalyptic number.

It is an amenable number.

211211020020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211020020001 is an equidigital number, since it uses as much as digits as its factorization.

211211020020001 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 211211020020001 its reverse (100020020112112), we get a palindrome (311231040132113).

The spelling of 211211020020001 in words is "two hundred eleven trillion, two hundred eleven billion, twenty million, twenty thousand, one".