201222101120 has 128 divisors (see below), whose sum is σ = 497913799680. Its totient is φ = 77680742400.

The previous prime is 201222101033. The next prime is 201222101123. The reversal of 201222101120 is 21101222102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 201222101095 and 201222101104.

It is not an unprimeable number, because it can be changed into a prime (201222101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7386725 + ... + 7413915.

It is an arithmetic number, because the mean of its divisors is an integer number (3889951560).

Almost surely, 2^201222101120 is an apocalyptic number.

201222101120 is a gapful number since it is divisible by the number (20) 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 201222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248956899840).

201222101120 is an abundant number, since it is smaller than the sum of its proper divisors (296691698560).

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

201222101120 is a wasteful number, since it uses less digits than its factorization.

201222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27614 (or 27602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201222101120 its reverse (21101222102), we get a palindrome (222323323222).

The spelling of 201222101120 in words is "two hundred one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".