211020222010001 has 2 divisors, whose sum is σ = 211020222010002. Its totient is φ = 211020222010000.

The previous prime is 211020222009917. The next prime is 211020222010051. The reversal of 211020222010001 is 100010222020112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193963445909776 + 17056776100225 = 13927076^2 + 4129985^2 .

It is a cyclic number.

It is not a de Polignac number, because 211020222010001 - 2²⁶ = 211020154901137 is a prime.

It is a super-2 number, since 2×211020222010001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211020222010051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105510111005000 + 105510111005001.

It is an arithmetic number, because the mean of its divisors is an integer number (105510111005001).

Almost surely, 2^{211020222010001} is an apocalyptic number.

It is an amenable number.

211020222010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211020222010001 is an equidigital number, since it uses as much as digits as its factorization.

211020222010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211020222010001 its reverse (100010222020112), we get a palindrome (311030444030113).

The spelling of 211020222010001 in words is "two hundred eleven trillion, twenty billion, two hundred twenty-two million, ten thousand, one".