211221000301 has 16 divisors (see below), whose sum is σ = 219577826160. Its totient is φ = 202937978880.

The previous prime is 211221000293. The next prime is 211221000311. The reversal of 211221000301 is 103000122112.

It can be written as a sum of positive squares in 8 ways, for example, as 34967130025 + 176253870276 = 186995^2 + 419826^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221000301 - 2³ = 211221000293 is a prime.

It is a super-2 number, since 2×211221000301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221000311) 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 in 15 ways as a sum of consecutive naturals, for example, 5363041 + ... + 5402281.

It is an arithmetic number, because the mean of its divisors is an integer number (13723614135).

Almost surely, 2^211221000301 is an apocalyptic number.

It is an amenable number.

211221000301 is a deficient number, since it is larger than the sum of its proper divisors (8356825859).

211221000301 is a wasteful number, since it uses less digits than its factorization.

211221000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40176.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211221000301 its reverse (103000122112), we get a palindrome (314221122413).

The spelling of 211221000301 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred one", and thus it is an aban number.