201122022112 has 96 divisors (see below), whose sum is σ = 454463218944. Its totient is φ = 87443931520.

The previous prime is 201122022067. The next prime is 201122022137. The reversal of 201122022112 is 211220221102.

It is a happy number.

201122022112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876963 + ... + 1082269.

It is an arithmetic number, because the mean of its divisors is an integer number (4733991864).

Almost surely, 2^201122022112 is an apocalyptic number.

201122022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227231609472).

201122022112 is an abundant number, since it is smaller than the sum of its proper divisors (253341196832).

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

201122022112 is a wasteful number, since it uses less digits than its factorization.

201122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205373 (or 205343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201122022112 its reverse (211220221102), we get a palindrome (412342243214).

The spelling of 201122022112 in words is "two hundred one billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".