211111110000 has 1200 divisors, whose sum is σ = 896244734880. Its totient is φ = 48009024000.

The previous prime is 211111109977. The next prime is 211111110011. The reversal of 211111110000 is 11111112.

211111110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1071629902 + ... + 1071630098.

Almost surely, 2^211111110000 is an apocalyptic number.

211111110000 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 211111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448122367440).

211111110000 is an abundant number, since it is smaller than the sum of its proper divisors (685133624880).

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

211111110000 is an frugal number, since it uses more digits than its factorization.

211111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211111110000 its reverse (11111112), we get a palindrome (211122221112).

The spelling of 211111110000 in words is "two hundred eleven billion, one hundred eleven million, one hundred ten thousand".