211101100001 has 32 divisors (see below), whose sum is σ = 240852648960. Its totient is φ = 183351672000.

The previous prime is 211101099983. The next prime is 211101100051. The reversal of 211101100001 is 100001101112.

It is a happy number.

211101100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211101100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211101100051) 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 31 ways as a sum of consecutive naturals, for example, 3938540 + ... + 3991778.

It is an arithmetic number, because the mean of its divisors is an integer number (7526645280).

Almost surely, 2^211101100001 is an apocalyptic number.

It is an amenable number.

211101100001 is a deficient number, since it is larger than the sum of its proper divisors (29751548959).

211101100001 is a wasteful number, since it uses less digits than its factorization.

211101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53477.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 211101100001 its reverse (100001101112), we get a palindrome (311102201113).

The spelling of 211101100001 in words is "two hundred eleven billion, one hundred one million, one hundred thousand, one".