211110000100 has 36 divisors (see below), whose sum is σ = 485056274724. Its totient is φ = 79476705280.

The previous prime is 211110000077. The next prime is 211110000109. The reversal of 211110000100 is 1000011112.

211110000100 is digitally balanced in base 2, 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 973939264 + 210136060836 = 31208^2 + 458406^2 .

It is not an unprimeable number, because it can be changed into a prime (211110000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62089477 + ... + 62092876.

It is an arithmetic number, because the mean of its divisors is an integer number (13473785409).

Almost surely, 2^211110000100 is an apocalyptic number.

211110000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110000100 is an abundant number, since it is smaller than the sum of its proper divisors (273946274624).

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

211110000100 is a wasteful number, since it uses less digits than its factorization.

211110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124182384 (or 124182377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 211110000100 its reverse (1000011112), we get a palindrome (212110011212).

The spelling of 211110000100 in words is "two hundred eleven billion, one hundred ten million, one hundred", and thus it is an aban number.