20100434200 has 192 divisors, whose sum is σ = 58846590720. Its totient is φ = 6202560000.

The previous prime is 20100434173. The next prime is 20100434201. The reversal of 20100434200 is 243400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100434201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548939 + ... + 1561861.

It is an arithmetic number, because the mean of its divisors is an integer number (306492660).

Almost surely, 2^20100434200 is an apocalyptic number.

20100434200 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 20100434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29423295360).

20100434200 is an abundant number, since it is smaller than the sum of its proper divisors (38746156520).

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

20100434200 is a wasteful number, since it uses less digits than its factorization.

20100434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20100434200 its reverse (243400102), we get a palindrome (20343834302).

The spelling of 20100434200 in words is "twenty billion, one hundred million, four hundred thirty-four thousand, two hundred".