211112011000 has 128 divisors (see below), whose sum is σ = 539330088960. Its totient is φ = 76708368000.

The previous prime is 211112010997. The next prime is 211112011021. The reversal of 211112011000 is 110211112.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 15646257 + ... + 15659743.

It is an arithmetic number, because the mean of its divisors is an integer number (4213516320).

Almost surely, 2^211112011000 is an apocalyptic number.

211112011000 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 211112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269665044480).

211112011000 is an abundant number, since it is smaller than the sum of its proper divisors (328218077960).

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

211112011000 is a wasteful number, since it uses less digits than its factorization.

211112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211112011000 its reverse (110211112), we get a palindrome (211222222112).

The spelling of 211112011000 in words is "two hundred eleven billion, one hundred twelve million, eleven thousand".