100200300200100 has 81 divisors (see below), whose sum is σ = 314073215571297. Its totient is φ = 26719999973280.

The previous prime is 100200300200071. The next prime is 100200300200111. The reversal of 100200300200100 is 1002003002001.

It is a happy number.

The square root of 100200300200100 is 10010010.

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

It can be written as a sum of positive squares in only one way, i.e., 36072108072036 + 64128192128064 = 6006006^2 + 8008008^2 .

It is a super-4 number, since 4×100200300200100⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 300133467 + ... + 300467133.

Almost surely, 2^{100200300200100} is an apocalyptic number.

100200300200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200300200100 is the 10010010-th square number.

It is an amenable number.

100200300200100 is an abundant number, since it is smaller than the sum of its proper divisors (213872915371197).

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

100200300200100 is an frugal number, since it uses more digits than its factorization.

100200300200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667354 (or 333677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100200300200100 its reverse (1002003002001), we get a palindrome (101202303202101).

100200300200100 divided by its reverse (1002003002001) gives a square (100 = 10²).

It can be divided in two parts, 100200300 and 200100, that added together give a square (100400400 = 10020²).

The spelling of 100200300200100 in words is "one hundred trillion, two hundred billion, three hundred million, two hundred thousand, one hundred".