201122110111122 has 24 divisors (see below), whose sum is σ = 447541992771276. Its totient is φ = 65228792468256.

The previous prime is 201122110111051. The next prime is 201122110111133. The reversal of 201122110111122 is 221111011221102.

It is a happy number.

201122110111122 is a `hidden beast` number, since 201 + 1 + 221 + 10 + 111 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199137282783201 + 1984827327921 = 14111601^2 + 1408839^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201122110111095 and 201122110111104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 150992574493 + ... + 150992575824.

Almost surely, 2^{201122110111122} is an apocalyptic number.

201122110111122 is an abundant number, since it is smaller than the sum of its proper divisors (246419882660154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201122110111122 is a wasteful number, since it uses less digits than its factorization.

201122110111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301985150362 (or 301985150359 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201122110111122 its reverse (221111011221102), we get a palindrome (422233121332224).

The spelling of 201122110111122 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-two".