211102022102201 has 16 divisors (see below), whose sum is σ = 216919426838400. Its totient is φ = 205386998813568.

The previous prime is 211102022102171. The next prime is 211102022102203. The reversal of 211102022102201 is 102201220201112.

It is a cyclic number.

It is not a de Polignac number, because 211102022102201 - 2¹⁰ = 211102022101177 is a prime.

It is a super-2 number, since 2×211102022102201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211102022102201.

It is not an unprimeable number, because it can be changed into a prime (211102022102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71899871 + ... + 74778308.

It is an arithmetic number, because the mean of its divisors is an integer number (13557464177400).

Almost surely, 2^{211102022102201} is an apocalyptic number.

It is an amenable number.

211102022102201 is a deficient number, since it is larger than the sum of its proper divisors (5817404736199).

211102022102201 is a wasteful number, since it uses less digits than its factorization.

211102022102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146678528.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211102022102201 its reverse (102201220201112), we get a palindrome (313303242303313).

The spelling of 211102022102201 in words is "two hundred eleven trillion, one hundred two billion, twenty-two million, one hundred two thousand, two hundred one".