210011210011201 has 2 divisors, whose sum is σ = 210011210011202. Its totient is φ = 210011210011200.

The previous prime is 210011210011199. The next prime is 210011210011247. The reversal of 210011210011201 is 102110012110012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197805969051201 + 12205240960000 = 14064351^2 + 3493600^2 .

It is a cyclic number.

It is not a de Polignac number, because 210011210011201 - 2¹ = 210011210011199 is a prime.

It is a super-2 number, since 2×210011210011201² (a number of 29 digits) contains 22 as substring.

Together with 210011210011199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (210011210411201) 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, 105005605005600 + 105005605005601.

It is an arithmetic number, because the mean of its divisors is an integer number (105005605005601).

Almost surely, 2^{210011210011201} is an apocalyptic number.

It is an amenable number.

210011210011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

210011210011201 is an equidigital number, since it uses as much as digits as its factorization.

210011210011201 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 13.

Adding to 210011210011201 its reverse (102110012110012), we get a palindrome (312121222121213).

The spelling of 210011210011201 in words is "two hundred ten trillion, eleven billion, two hundred ten million, eleven thousand, two hundred one".