211131101120 has 28 divisors (see below), whose sum is σ = 502755935304. Its totient is φ = 84452440320.

The previous prime is 211131101117. The next prime is 211131101143. The reversal of 211131101120 is 21101131112.

It is a junction number, because it is equal to n+sod(n) for n = 211131101095 and 211131101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329892026 + ... + 329892665.

It is an arithmetic number, because the mean of its divisors is an integer number (17955569118).

Almost surely, 2^211131101120 is an apocalyptic number.

211131101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131101120 is an abundant number, since it is smaller than the sum of its proper divisors (291624834184).

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

211131101120 is an equidigital number, since it uses as much as digits as its factorization.

211131101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659784708 (or 659784698 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 211131101120 its reverse (21101131112), we get a palindrome (232232232232).

The spelling of 211131101120 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred one thousand, one hundred twenty".