100201000000 has 196 divisors, whose sum is σ = 251347642084. Its totient is φ = 39628800000.

The previous prime is 100200999967. The next prime is 100201000001. The reversal of 100201000000 is 102001.

It can be written as a sum of positive squares in 14 ways, for example, as 97903906816 + 2297093184 = 312896^2 + 47928^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201000001) 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 27 ways as a sum of consecutive naturals, for example, 96999484 + ... + 97000516.

It is an arithmetic number, because the mean of its divisors is an integer number (1282385929).

Almost surely, 2^100201000000 is an apocalyptic number.

100201000000 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 100201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125673821042).

100201000000 is an abundant number, since it is smaller than the sum of its proper divisors (151146642084).

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

100201000000 is an frugal number, since it uses more digits than its factorization.

100201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1137 counting only the distinct ones).

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

Adding to 100201000000 its reverse (102001), we get a palindrome (100201102001).

The spelling of 100201000000 in words is "one hundred billion, two hundred one million", and thus it is an aban number.