100000200000100 has 81 divisors (see below), whose sum is σ = 219192364021953. Its totient is φ = 39600039600000.

The previous prime is 100000200000023. The next prime is 100000200000109. The reversal of 100000200000100 is 1000002000001.

The square root of 100000200000100 is 10000010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5781495216676 + 94218704783424 = 2404474^2 + 9706632^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100000200000100.

It is not an unprimeable number, because it can be changed into a prime (100000200000109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10100005150 + ... + 10100015050.

Almost surely, 2^{100000200000100} is an apocalyptic number.

100000200000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000200000100 is the 10000010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000200000100

100000200000100 is an abundant number, since it is smaller than the sum of its proper divisors (119192164021853).

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

100000200000100 is an frugal number, since it uses more digits than its factorization.

100000200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20018 (or 10009 counting only the distinct ones).

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

Adding to 100000200000100 its reverse (1000002000001), we get a palindrome (101000202000101).

100000200000100 divided by its reverse (1000002000001) gives a square (100 = 10²).

The spelling of 100000200000100 in words is "one hundred trillion, two hundred million, one hundred", and thus it is an aban number.