201122110102221 has 48 divisors (see below), whose sum is σ = 378114542210880. Its totient is φ = 104479018227360.

The previous prime is 201122110102217. The next prime is 201122110102241. The reversal of 201122110102221 is 122201011221102.

201122110102221 is a `hidden beast` number, since 20 + 112 + 211 + 0 + 102 + 221 = 666.

It is not a de Polignac number, because 201122110102221 - 2² = 201122110102217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201122110102194 and 201122110102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122110102241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6909973426 + ... + 6910002531.

It is an arithmetic number, because the mean of its divisors is an integer number (7877386296060).

Almost surely, 2^{201122110102221} is an apocalyptic number.

201122110102221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201122110102221 is a deficient number, since it is larger than the sum of its proper divisors (176992432108659).

201122110102221 is a wasteful number, since it uses less digits than its factorization.

201122110102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819975991 (or 13819975978 counting only the distinct ones).

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

Adding to 201122110102221 its reverse (122201011221102), we get a palindrome (323323121323323).

The spelling of 201122110102221 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred ten million, one hundred two thousand, two hundred twenty-one".