211111102100109 has 16 divisors (see below), whose sum is σ = 282250096273152. Its totient is φ = 140356425808128.

The previous prime is 211111102100069. The next prime is 211111102100141. The reversal of 211111102100109 is 901001201111112.

It is a happy number.

It is not a de Polignac number, because 211111102100109 - 2¹³ = 211111102091917 is a prime.

It is a super-3 number, since 3×211111102100109³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111102120109) 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 15 ways as a sum of consecutive naturals, for example, 232069537 + ... + 232977449.

It is an arithmetic number, because the mean of its divisors is an integer number (17640631017072).

Almost surely, 2^{211111102100109} is an apocalyptic number.

It is an amenable number.

211111102100109 is a deficient number, since it is larger than the sum of its proper divisors (71138994173043).

211111102100109 is a wasteful number, since it uses less digits than its factorization.

211111102100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119476.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 211111102100109 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred two million, one hundred thousand, one hundred nine".