32434001200100 has 144 divisors (see below), whose sum is σ = 71952401001600. Its totient is φ = 12686544568320.

The previous prime is 32434001200087. The next prime is 32434001200171. The reversal of 32434001200100 is 100210043423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126596506 + ... + 1126625294.

It is an arithmetic number, because the mean of its divisors is an integer number (499669451400).

Almost surely, 2^{32434001200100} 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 32434001200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35976200500800).

32434001200100 is an abundant number, since it is smaller than the sum of its proper divisors (39518399801500).

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

32434001200100 is a wasteful number, since it uses less digits than its factorization.

32434001200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29862 (or 29855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32434001200100 its reverse (100210043423), we get a palindrome (32534211243523).

The spelling of 32434001200100 in words is "thirty-two trillion, four hundred thirty-four billion, one million, two hundred thousand, one hundred".