100011006006100 has 108 divisors (see below), whose sum is σ = 267306727704156. Its totient is φ = 32272459054080.

The previous prime is 100011006005983. The next prime is 100011006006143. The reversal of 100011006006100 is 1600600110001.

100011006006100 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 6 ways, for example, as 2267174649796 + 97743831356304 = 1505714^2 + 9886548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600222859 + ... + 600389458.

It is an arithmetic number, because the mean of its divisors is an integer number (2475062293557).

Almost surely, 2^{100011006006100} is an apocalyptic number.

100011006006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011006006100 is an abundant number, since it is smaller than the sum of its proper divisors (167295721698056).

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

100011006006100 is a wasteful number, since it uses less digits than its factorization.

100011006006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200612362 (or 1200612348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100011006006100 its reverse (1600600110001), we get a palindrome (101611606116101).

The spelling of 100011006006100 in words is "one hundred trillion, eleven billion, six million, six thousand, one hundred".