211100001001 has 16 divisors (see below), whose sum is σ = 216231542784. Its totient is φ = 205995891024.

The previous prime is 211100000983. The next prime is 211100001071. The reversal of 211100001001 is 100100001112.

It is a cyclic number.

It is not a de Polignac number, because 211100001001 - 2¹⁹ = 211099476713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211100001071) 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, 33574080 + ... + 33580366.

It is an arithmetic number, because the mean of its divisors is an integer number (13514471424).

Almost surely, 2^211100001001 is an apocalyptic number.

It is an amenable number.

211100001001 is a deficient number, since it is larger than the sum of its proper divisors (5131541783).

211100001001 is a wasteful number, since it uses less digits than its factorization.

211100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 211100001001 its reverse (100100001112), we get a palindrome (311200002113).

The spelling of 211100001001 in words is "two hundred eleven billion, one hundred million, one thousand, one".