201121110300 has 288 divisors, whose sum is σ = 685261140480. Its totient is φ = 45028121600.

The previous prime is 201121110293. The next prime is 201121110331. The reversal of 201121110300 is 3011121102.

201121110300 is digitally balanced in base 7, 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2155414 + ... + 2246786.

It is an arithmetic number, because the mean of its divisors is an integer number (2379378960).

Almost surely, 2^201121110300 is an apocalyptic number.

201121110300 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 201121110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342630570240).

201121110300 is an abundant number, since it is smaller than the sum of its proper divisors (484140030180).

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

201121110300 is a wasteful number, since it uses less digits than its factorization.

201121110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91453 (or 91446 counting only the distinct ones).

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

Adding to 201121110300 its reverse (3011121102), we get a palindrome (204132231402).

The spelling of 201121110300 in words is "two hundred one billion, one hundred twenty-one million, one hundred ten thousand, three hundred".