201122112122112 has 144 divisors (see below), whose sum is σ = 554494745629440. Its totient is φ = 64670670028800.

The previous prime is 201122112122101. The next prime is 201122112122117. The reversal of 201122112122112 is 211221211221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122112122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33081064 + ... + 38685927.

It is an arithmetic number, because the mean of its divisors is an integer number (3850657955760).

Almost surely, 2^{201122112122112} is an apocalyptic number.

It is an amenable number.

201122112122112 is an abundant number, since it is smaller than the sum of its proper divisors (353372633507328).

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

201122112122112 is an equidigital number, since it uses as much as digits as its factorization.

201122112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71767140 (or 71767126 counting only the distinct ones).

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

Adding to 201122112122112 its reverse (211221211221102), we get a palindrome (412343323343214).

The spelling of 201122112122112 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".