211001100000 has 576 divisors, whose sum is σ = 727603430400. Its totient is φ = 53464320000.

The previous prime is 211001099951. The next prime is 211001100001. The reversal of 211001100000 is 1100112.

211001100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687299847 + ... + 687300153.

It is an arithmetic number, because the mean of its divisors is an integer number (1263200400).

Almost surely, 2^211001100000 is an apocalyptic number.

211001100000 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 211001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363801715200).

211001100000 is an abundant number, since it is smaller than the sum of its proper divisors (516602330400).

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

211001100000 is an equidigital number, since it uses as much as digits as its factorization.

211001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 211001100000 its reverse (1100112), we get a palindrome (211002200112).

The spelling of 211001100000 in words is "two hundred eleven billion, one million, one hundred thousand".