100200200200100 has 972 divisors, whose sum is σ = 304060786106364. Its totient is φ = 28540512000000.

The previous prime is 100200200200097. The next prime is 100200200200103. The reversal of 100200200200100 is 1002002002001.

It is an interprime number because it is at equal distance from previous prime (100200200200097) and next prime (100200200200103).

It can be written as a sum of positive squares in 18 ways, for example, as 44843594399296 + 55356605800804 = 6696536^2 + 7440202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200200200103) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 10120205150 + ... + 10120215050.

Almost surely, 2^{100200200200100} is an apocalyptic number.

100200200200100 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 100200200200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152030393053182).

100200200200100 is an abundant number, since it is smaller than the sum of its proper divisors (203860585906264).

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

100200200200100 is a wasteful number, since it uses less digits than its factorization.

100200200200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100200200200100 its reverse (1002002002001), we get a palindrome (101202202202101).

100200200200100 divided by its reverse (1002002002001) gives a square (100 = 10²).

The spelling of 100200200200100 in words is "one hundred trillion, two hundred billion, two hundred million, two hundred thousand, one hundred".