211000020211000 has 256 divisors, whose sum is σ = 514649224627200. Its totient is φ = 80921776320000.

The previous prime is 211000020210979. The next prime is 211000020211033. The reversal of 211000020211000 is 112020000112.

211000020211000 is digitally balanced in base 2, 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 (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398988757 + ... + 399517243.

It is an arithmetic number, because the mean of its divisors is an integer number (2010348533700).

Almost surely, 2^{211000020211000} is an apocalyptic number.

211000020211000 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 211000020211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257324612313600).

211000020211000 is an abundant number, since it is smaller than the sum of its proper divisors (303649204416200).

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

211000020211000 is a wasteful number, since it uses less digits than its factorization.

211000020211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528735 (or 528721 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211000020211000 its reverse (112020000112), we get a palindrome (211112040211112).

The spelling of 211000020211000 in words is "two hundred eleven trillion, twenty million, two hundred eleven thousand".