101643560200 has 192 divisors, whose sum is σ = 291147615360. Its totient is φ = 32136376320.

The previous prime is 101643560177. The next prime is 101643560209. The reversal of 101643560200 is 2065346101.

101643560200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (101643560209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23785264 + ... + 23789536.

It is an arithmetic number, because the mean of its divisors is an integer number (1516393830).

Almost surely, 2^101643560200 is an apocalyptic number.

101643560200 is a gapful number since it is divisible by the number (10) 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 101643560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145573807680).

101643560200 is an abundant number, since it is smaller than the sum of its proper divisors (189504055160).

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

101643560200 is a wasteful number, since it uses less digits than its factorization.

101643560200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 101643560200 in words is "one hundred one billion, six hundred forty-three million, five hundred sixty thousand, two hundred".