100200100000 has 972 divisors, whose sum is σ = 341389669194. Its totient is φ = 28828800000.

The previous prime is 100200099991. The next prime is 100200100009. The reversal of 100200100000 is 1002001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (100200099991) and next prime (100200100009).

It can be written as a sum of positive squares in 9 ways, for example, as 82578068496 + 17622031504 = 287364^2 + 132748^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (100200100009) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 7707699994 + ... + 7707700006.

Almost surely, 2^100200100000 is an apocalyptic number.

100200100000 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 100200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170694834597).

100200100000 is an abundant number, since it is smaller than the sum of its proper divisors (241189569194).

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

100200100000 is an equidigital number, since it uses as much as digits as its factorization.

100200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 100200100000 its reverse (1002001), we get a palindrome (100201102001).

100200100000 divided by its reverse (1002001) gives a 5-th power (100000 = 10⁵).

The spelling of 100200100000 in words is "one hundred billion, two hundred million, one hundred thousand".