201221120100 has 1152 divisors, whose sum is σ = 810100150272. Its totient is φ = 37225267200.

The previous prime is 201221120099. The next prime is 201221120153. The reversal of 201221120100 is 1021122102.

201221120100 is digitally balanced in base 2, because in such base 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 (12).

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 383 ways as a sum of consecutive naturals, for example, 1468767232 + ... + 1468767368.

It is an arithmetic number, because the mean of its divisors is an integer number (703211936).

Almost surely, 2^201221120100 is an apocalyptic number.

201221120100 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 201221120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405050075136).

201221120100 is an abundant number, since it is smaller than the sum of its proper divisors (608879030172).

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

201221120100 is a wasteful number, since it uses less digits than its factorization.

201221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201221120100 its reverse (1021122102), we get a palindrome (202242242202).

It can be divided in two parts, 2012 and 21120100, that added together give a palindrome (21122112).

The spelling of 201221120100 in words is "two hundred one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".