201434333340100 has 288 divisors, whose sum is σ = 528732858931200. Its totient is φ = 65070387072000.

The previous prime is 201434333340077. The next prime is 201434333340103. The reversal of 201434333340100 is 1043333434102.

It is not an unprimeable number, because it can be changed into a prime (201434333340103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2102189991 + ... + 2102285809.

It is an arithmetic number, because the mean of its divisors is an integer number (1835877982400).

Almost surely, 2^{201434333340100} is an apocalyptic number.

201434333340100 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 201434333340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264366429465600).

201434333340100 is an abundant number, since it is smaller than the sum of its proper divisors (327298525591100).

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

201434333340100 is a wasteful number, since it uses less digits than its factorization.

201434333340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96723 (or 96716 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 201434333340100 its reverse (1043333434102), we get a palindrome (202477666774202).

The spelling of 201434333340100 in words is "two hundred one trillion, four hundred thirty-four billion, three hundred thirty-three million, three hundred forty thousand, one hundred".