211132021100201 has 16 divisors (see below), whose sum is σ = 234013073753088. Its totient is φ = 189593925427200.

The previous prime is 211132021100081. The next prime is 211132021100227. The reversal of 211132021100201 is 102001120231112.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211132021100201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211132021100201.

It is not an unprimeable number, because it can be changed into a prime (211132021100501) 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, 2821300760 + ... + 2821375593.

It is an arithmetic number, because the mean of its divisors is an integer number (14625817109568).

Almost surely, 2^{211132021100201} is an apocalyptic number.

It is an amenable number.

211132021100201 is a deficient number, since it is larger than the sum of its proper divisors (22881052652887).

211132021100201 is a wasteful number, since it uses less digits than its factorization.

211132021100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642676472.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211132021100201 its reverse (102001120231112), we get a palindrome (313133141331313).

The spelling of 211132021100201 in words is "two hundred eleven trillion, one hundred thirty-two billion, twenty-one million, one hundred thousand, two hundred one".