211100112111100 has 18 divisors (see below), whose sum is σ = 458087243281304. Its totient is φ = 84440044844400.

The previous prime is 211100112111067. The next prime is 211100112111107. The reversal of 211100112111100 is 1111211001112.

It is a super-3 number, since 3×211100112111100³ (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 (211100112111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1055500560456 + ... + 1055500560655.

Almost surely, 2^{211100112111100} is an apocalyptic number.

211100112111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100112111100 is an abundant number, since it is smaller than the sum of its proper divisors (246987131170204).

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

211100112111100 is a wasteful number, since it uses less digits than its factorization.

211100112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111001121125 (or 2111001121118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211100112111100 its reverse (1111211001112), we get a palindrome (212211323112212).

The spelling of 211100112111100 in words is "two hundred eleven trillion, one hundred billion, one hundred twelve million, one hundred eleven thousand, one hundred".