201122121221112 has 256 divisors, whose sum is σ = 635698969436160. Its totient is φ = 51598525630464.

The previous prime is 201122121221111. The next prime is 201122121221123. The reversal of 201122121221112 is 211122121221102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122121221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379775418 + ... + 380304630.

It is an arithmetic number, because the mean of its divisors is an integer number (2483199099360).

Almost surely, 2^{201122121221112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122121221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317849484718080).

201122121221112 is an abundant number, since it is smaller than the sum of its proper divisors (434576848215048).

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

201122121221112 is a wasteful number, since it uses less digits than its factorization.

201122121221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533982 (or 533978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 201122121221112 its reverse (211122121221102), we get a palindrome (412244242442214).

The spelling of 201122121221112 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".