201101022122211 has 48 divisors (see below), whose sum is σ = 294571312588800. Its totient is φ = 132183536337216.

The previous prime is 201101022122201. The next prime is 201101022122309. The reversal of 201101022122211 is 112221220101102.

201101022122211 is a `hidden beast` number, since 20 + 110 + 102 + 212 + 221 + 1 = 666.

It is not a de Polignac number, because 201101022122211 - 2⁷ = 201101022122083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201101022122201) 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 47 ways as a sum of consecutive naturals, for example, 6440781946 + ... + 6440813168.

It is an arithmetic number, because the mean of its divisors is an integer number (6136902345600).

Almost surely, 2^{201101022122211} is an apocalyptic number.

201101022122211 is a deficient number, since it is larger than the sum of its proper divisors (93470290466589).

201101022122211 is a wasteful number, since it uses less digits than its factorization.

201101022122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43800 (or 43797 counting only the distinct ones).

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

Adding to 201101022122211 its reverse (112221220101102), we get a palindrome (313322242223313).

The spelling of 201101022122211 in words is "two hundred one trillion, one hundred one billion, twenty-two million, one hundred twenty-two thousand, two hundred eleven".