201122101001200 has 120 divisors (see below), whose sum is σ = 514297770336000. Its totient is φ = 75320133427200.

The previous prime is 201122101001141. The next prime is 201122101001207. The reversal of 201122101001200 is 2100101221102.

It is a super-2 number, since 2×201122101001200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122101001207) 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 23 ways as a sum of consecutive naturals, for example, 76127325 + ... + 78724924.

It is an arithmetic number, because the mean of its divisors is an integer number (4285814752800).

Almost surely, 2^{201122101001200} is an apocalyptic number.

201122101001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122101001200 is an abundant number, since it is smaller than the sum of its proper divisors (313175669334800).

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

201122101001200 is a wasteful number, since it uses less digits than its factorization.

201122101001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154852475 (or 154852464 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122101001200 its reverse (2100101221102), we get a palindrome (203222202222302).

The spelling of 201122101001200 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred one million, one thousand, two hundred".