200115716169100 has 144 divisors (see below), whose sum is σ = 458495976004416. Its totient is φ = 75661977600000.

The previous prime is 200115716169067. The next prime is 200115716169121. The reversal of 200115716169100 is 1961617511002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146790600 + ... + 148147600.

It is an arithmetic number, because the mean of its divisors is an integer number (3183999833364).

Almost surely, 2^{200115716169100} is an apocalyptic number.

200115716169100 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 200115716169100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229247988002208).

200115716169100 is an abundant number, since it is smaller than the sum of its proper divisors (258380259835316).

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

200115716169100 is a wasteful number, since it uses less digits than its factorization.

200115716169100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357796 (or 1357789 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 40.

The spelling of 200115716169100 in words is "two hundred trillion, one hundred fifteen billion, seven hundred sixteen million, one hundred sixty-nine thousand, one hundred".