201340212100240 has 80 divisors (see below), whose sum is σ = 473446394031600. Its totient is φ = 79619296813056.

The previous prime is 201340212100219. The next prime is 201340212100271. The reversal of 201340212100240 is 42001212043102.

201340212100240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10692272169216 + 190647939931024 = 3269904^2 + 13807532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45660604 + ... + 49875556.

It is an arithmetic number, because the mean of its divisors is an integer number (5918079925395).

Almost surely, 2^{201340212100240} is an apocalyptic number.

201340212100240 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 201340212100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236723197015800).

201340212100240 is an abundant number, since it is smaller than the sum of its proper divisors (272106181931360).

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

201340212100240 is a wasteful number, since it uses less digits than its factorization.

201340212100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221764 (or 4221758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201340212100240 its reverse (42001212043102), we get a palindrome (243341424143342).

The spelling of 201340212100240 in words is "two hundred one trillion, three hundred forty billion, two hundred twelve million, one hundred thousand, two hundred forty".