100011202100 has 18 divisors (see below), whose sum is σ = 217024308774. Its totient is φ = 40004480800.

The previous prime is 100011202097. The next prime is 100011202111. The reversal of 100011202100 is 1202110001.

100011202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 22739433616 + 77271768484 = 150796^2 + 277978^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 500055911 + ... + 500056110.

It is an arithmetic number, because the mean of its divisors is an integer number (12056906043).

Almost surely, 2^100011202100 is an apocalyptic number.

100011202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011202100 is an abundant number, since it is smaller than the sum of its proper divisors (117013106674).

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

100011202100 is a wasteful number, since it uses less digits than its factorization.

100011202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000112035 (or 1000112028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100011202100 its reverse (1202110001), we get a palindrome (101213312101).

The spelling of 100011202100 in words is "one hundred billion, eleven million, two hundred two thousand, one hundred".