201122001112011 has 128 divisors (see below), whose sum is σ = 327575453184000. Its totient is φ = 109508575841280.

The previous prime is 201122001111961. The next prime is 201122001112037. The reversal of 201122001112011 is 110211100221102.

It is a happy number.

It is not a de Polignac number, because 201122001112011 - 2²⁷ = 201121866894283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201122001112051) 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 127 ways as a sum of consecutive naturals, for example, 12071416021 + ... + 12071432681.

It is an arithmetic number, because the mean of its divisors is an integer number (2559183228000).

Almost surely, 2^{201122001112011} is an apocalyptic number.

201122001112011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201122001112011 is a deficient number, since it is larger than the sum of its proper divisors (126453452071989).

201122001112011 is a wasteful number, since it uses less digits than its factorization.

201122001112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18634 (or 18620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201122001112011 its reverse (110211100221102), we get a palindrome (311333101333113).

The spelling of 201122001112011 in words is "two hundred one trillion, one hundred twenty-two billion, one million, one hundred twelve thousand, eleven".