212100109 has 32 divisors (see below), whose sum is σ = 253338624. Its totient is φ = 175703040.

The previous prime is 212100079. The next prime is 212100121. The reversal of 212100109 is 901001212.

It is not a de Polignac number, because 212100109 - 2⁷ = 212099981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100092 and 212100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568447 + ... + 568819.

It is an arithmetic number, because the mean of its divisors is an integer number (7916832).

Almost surely, 2^212100109 is an apocalyptic number.

It is an amenable number.

212100109 is a deficient number, since it is larger than the sum of its proper divisors (41238515).

212100109 is a wasteful number, since it uses less digits than its factorization.

212100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

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

The square root of 212100109 is about 14563.6571299931. The cubic root of 212100109 is about 596.3670368436.

The spelling of 212100109 in words is "two hundred twelve million, one hundred thousand, one hundred nine".