201123230100016 has 80 divisors (see below), whose sum is σ = 449579367578880. Its totient is φ = 85376504183040.

The previous prime is 201123230099993. The next prime is 201123230100017. The reversal of 201123230100016 is 610001032321102.

It is a happy number.

201123230100016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201123230100016.

It is not an unprimeable number, because it can be changed into a prime (201123230100017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34022535 + ... + 39494041.

It is an arithmetic number, because the mean of its divisors is an integer number (5619742094736).

Almost surely, 2^{201123230100016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201123230100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224789683789440).

201123230100016 is an abundant number, since it is smaller than the sum of its proper divisors (248456137478864).

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

201123230100016 is a wasteful number, since it uses less digits than its factorization.

201123230100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474642 (or 5474636 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 201123230100016 its reverse (610001032321102), we get a palindrome (811124262421118).

The spelling of 201123230100016 in words is "two hundred one trillion, one hundred twenty-three billion, two hundred thirty million, one hundred thousand, sixteen".