211122211002201 has 6 divisors (see below), whose sum is σ = 304954304780970. Its totient is φ = 140748140668128.

The previous prime is 211122211002187. The next prime is 211122211002211. The reversal of 211122211002201 is 102200112221112.

211122211002201 is a `hidden beast` number, since 2 + 111 + 222 + 110 + 0 + 220 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210820991144976 + 301219857225 = 14519676^2 + 548835^2 .

It is not a de Polignac number, because 211122211002201 - 2¹⁵ = 211122210969433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211122211002211) 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 5 ways as a sum of consecutive naturals, for example, 11729011722336 + ... + 11729011722353.

It is an arithmetic number, because the mean of its divisors is an integer number (50825717463495).

Almost surely, 2^{211122211002201} is an apocalyptic number.

It is an amenable number.

211122211002201 is a deficient number, since it is larger than the sum of its proper divisors (93832093778769).

211122211002201 is a wasteful number, since it uses less digits than its factorization.

211122211002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23458023444695 (or 23458023444692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122211002201 its reverse (102200112221112), we get a palindrome (313322323223313).

The spelling of 211122211002201 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred eleven million, two thousand, two hundred one".