211132330111020 has 384 divisors, whose sum is σ = 664144532029440. Its totient is φ = 49801020272640.

The previous prime is 211132330110953. The next prime is 211132330111063. The reversal of 211132330111020 is 20111033231112.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8497284237 + ... + 8497309083.

It is an arithmetic number, because the mean of its divisors is an integer number (1729543052160).

Almost surely, 2^{211132330111020} is an apocalyptic number.

211132330111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211132330111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332072266014720).

211132330111020 is an abundant number, since it is smaller than the sum of its proper divisors (453012201918420).

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

211132330111020 is a wasteful number, since it uses less digits than its factorization.

211132330111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28373 (or 28371 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211132330111020 its reverse (20111033231112), we get a palindrome (231243363342132).

The spelling of 211132330111020 in words is "two hundred eleven trillion, one hundred thirty-two billion, three hundred thirty million, one hundred eleven thousand, twenty".