201342232400100 has 288 divisors, whose sum is σ = 651397538639232. Its totient is φ = 47619690752000.

The previous prime is 201342232400039. The next prime is 201342232400137. The reversal of 201342232400100 is 1004232243102.

It is a happy number.

201342232400100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 226996672 + ... + 227881928.

It is an arithmetic number, because the mean of its divisors is an integer number (2261797009164).

Almost surely, 2^{201342232400100} is an apocalyptic number.

201342232400100 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 201342232400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325698769319616).

201342232400100 is an abundant number, since it is smaller than the sum of its proper divisors (450055306239132).

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

201342232400100 is a wasteful number, since it uses less digits than its factorization.

201342232400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885408 (or 885319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201342232400100 its reverse (1004232243102), we get a palindrome (202346464643202).

The spelling of 201342232400100 in words is "two hundred one trillion, three hundred forty-two billion, two hundred thirty-two million, four hundred thousand, one hundred".