100200559880 has 96 divisors (see below), whose sum is σ = 239702992200. Its totient is φ = 37651654656.

The previous prime is 100200559847. The next prime is 100200559883. The reversal of 100200559880 is 88955002001.

It can be written as a sum of positive squares in 12 ways, for example, as 17637433636 + 82563126244 = 132806^2 + 287338^2 .

It is a super-2 number, since 2×100200559880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100200559883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556492 + ... + 1619588.

Almost surely, 2^100200559880 is an apocalyptic number.

100200559880 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 100200559880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119851496100).

100200559880 is an abundant number, since it is smaller than the sum of its proper divisors (139502432320).

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

100200559880 is a wasteful number, since it uses less digits than its factorization.

100200559880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63211 (or 63170 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 100200559880 in words is "one hundred billion, two hundred million, five hundred fifty-nine thousand, eight hundred eighty".