20034145250100 has 216 divisors, whose sum is σ = 63892954026720. Its totient is φ = 5249199594240.

The previous prime is 20034145250089. The next prime is 20034145250149. The reversal of 20034145250100 is 105254143002.

20034145250100 is a `hidden beast` number, since 2 + 0 + 0 + 34 + 1 + 4 + 525 + 0 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104670687 + ... + 104861913.

Almost surely, 2^{20034145250100} is an apocalyptic number.

20034145250100 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 20034145250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31946477013360).

20034145250100 is an abundant number, since it is smaller than the sum of its proper divisors (43858808776620).

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

20034145250100 is a wasteful number, since it uses less digits than its factorization.

20034145250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193279 (or 193269 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20034145250100 its reverse (105254143002), we get a palindrome (20139399393102).

The spelling of 20034145250100 in words is "twenty trillion, thirty-four billion, one hundred forty-five million, two hundred fifty thousand, one hundred".