201122421100 has 144 divisors (see below), whose sum is σ = 461504524320. Its totient is φ = 75970048000.

The previous prime is 201122421089. The next prime is 201122421109. The reversal of 201122421100 is 1124221102.

It is not an unprimeable number, because it can be changed into a prime (201122421109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24306564 + ... + 24314836.

It is an arithmetic number, because the mean of its divisors is an integer number (3204892530).

Almost surely, 2^201122421100 is an apocalyptic number.

201122421100 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 201122421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230752262160).

201122421100 is an abundant number, since it is smaller than the sum of its proper divisors (260382103220).

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

201122421100 is a wasteful number, since it uses less digits than its factorization.

201122421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8493 counting only the distinct ones).

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

Adding to 201122421100 its reverse (1124221102), we get a palindrome (202246642202).

The spelling of 201122421100 in words is "two hundred one billion, one hundred twenty-two million, four hundred twenty-one thousand, one hundred".