211101001201 has 16 divisors (see below), whose sum is σ = 234393771600. Its totient is φ = 189204277248.

The previous prime is 211101001183. The next prime is 211101001217. The reversal of 211101001201 is 102100101112.

211101001201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27505890801 + 183595110400 = 165849^2 + 428480^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101001201 - 2¹⁷ = 211100870129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211101001291) 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 15 ways as a sum of consecutive naturals, for example, 2896866 + ... + 2968843.

It is an arithmetic number, because the mean of its divisors is an integer number (14649610725).

Almost surely, 2^211101001201 is an apocalyptic number.

It is an amenable number.

211101001201 is a deficient number, since it is larger than the sum of its proper divisors (23292770399).

211101001201 is a wasteful number, since it uses less digits than its factorization.

211101001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865828.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211101001201 its reverse (102100101112), we get a palindrome (313201102313).

The spelling of 211101001201 in words is "two hundred eleven billion, one hundred one million, one thousand, two hundred one".