100200100000000 has 2187 divisors, whose sum is σ = 346153168960893. Its totient is φ = 28828800000000.

The previous prime is 100200099999983. The next prime is 100200100000051. The reversal of 100200100000000 is 1002001.

The square root of 100200100000000 is 10010000.

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 2962198978816 + 97237901021184 = 1721104^2 + 9860928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7707699999994 + ... + 7707700000006.

Almost surely, 2^{100200100000000} is an apocalyptic number.

100200100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200100000000 is the 10010000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200100000000

100200100000000 is an abundant number, since it is smaller than the sum of its proper divisors (245953068960893).

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

100200100000000 is an frugal number, since it uses more digits than its factorization.

100200100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 38 counting only the distinct ones).

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

Adding to 100200100000000 its reverse (1002001), we get a palindrome (100200101002001).

100200100000000 divided by its reverse (1002001) gives a 8-th power (100000000 = 10⁸).

The spelling of 100200100000000 in words is "one hundred trillion, two hundred billion, one hundred million", and thus it is an aban number.