100011100512 has 24 divisors (see below), whose sum is σ = 262529139096. Its totient is φ = 33337033472.

The previous prime is 100011100477. The next prime is 100011100543. The reversal of 100011100512 is 215001110001.

100011100512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×100011100512³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520891053 + ... + 520891244.

It is an arithmetic number, because the mean of its divisors is an integer number (10938714129).

Almost surely, 2^100011100512 is an apocalyptic number.

100011100512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011100512 is an abundant number, since it is smaller than the sum of its proper divisors (162518038584).

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

100011100512 is a wasteful number, since it uses less digits than its factorization.

100011100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041782310 (or 1041782302 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 100011100512 its reverse (215001110001), we get a palindrome (315012210513).

The spelling of 100011100512 in words is "one hundred billion, eleven million, one hundred thousand, five hundred twelve".