211332222012001 has 2 divisors, whose sum is σ = 211332222012002. Its totient is φ = 211332222012000.

The previous prime is 211332222011951. The next prime is 211332222012019. The reversal of 211332222012001 is 100210222233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195403382712976 + 15928839299025 = 13978676^2 + 3991095^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332222012001 - 2⁹ = 211332222011489 is a prime.

It is a super-2 number, since 2×211332222012001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211332222012701) 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, 105666111006000 + 105666111006001.

It is an arithmetic number, because the mean of its divisors is an integer number (105666111006001).

Almost surely, 2^{211332222012001} is an apocalyptic number.

It is an amenable number.

211332222012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332222012001 is an equidigital number, since it uses as much as digits as its factorization.

211332222012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211332222012001 its reverse (100210222233112), we get a palindrome (311542444245113).

The spelling of 211332222012001 in words is "two hundred eleven trillion, three hundred thirty-two billion, two hundred twenty-two million, twelve thousand, one".