211100100020 has 36 divisors (see below), whose sum is σ = 467870348484. Its totient is φ = 79995824640.

The previous prime is 211100100019. The next prime is 211100100049. The reversal of 211100100020 is 20001001112.

211100100020 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 2 ways, for example, as 130156435984 + 80943664036 = 360772^2 + 284506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211100099980 and 211100100007.

It is a congruent number.

It is an unprimeable number.

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, 14611901 + ... + 14626340.

It is an arithmetic number, because the mean of its divisors is an integer number (12996398569).

Almost surely, 2^211100100020 is an apocalyptic number.

211100100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100100020 is an abundant number, since it is smaller than the sum of its proper divisors (256770248464).

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

211100100020 is a wasteful number, since it uses less digits than its factorization.

211100100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29238288 (or 29238267 counting only the distinct ones).

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

Adding to 211100100020 its reverse (20001001112), we get a palindrome (231101101132).

The spelling of 211100100020 in words is "two hundred eleven billion, one hundred million, one hundred thousand, twenty".