211211122001 has 8 divisors (see below), whose sum is σ = 230419209600. Its totient is φ = 192004213840.

The previous prime is 211211121991. The next prime is 211211122007. The reversal of 211211122001 is 100221112112.

211211122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211211122001 is a prime.

It is a super-2 number, since 2×211211122001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211211122007) 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 in 7 ways as a sum of consecutive naturals, for example, 102920 + ... + 658038.

It is an arithmetic number, because the mean of its divisors is an integer number (28802401200).

Almost surely, 2^211211122001 is an apocalyptic number.

It is an amenable number.

211211122001 is a deficient number, since it is larger than the sum of its proper divisors (19208087599).

211211122001 is a wasteful number, since it uses less digits than its factorization.

211211122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589719.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211122001 its reverse (100221112112), we get a palindrome (311432234113).

The spelling of 211211122001 in words is "two hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, one".