211011003000000 has 882 divisors, whose sum is σ = 879455418373428. Its totient is φ = 48230985600000.

The previous prime is 211011002999999. The next prime is 211011003000067. The reversal of 211011003000000 is 300110112.

It is a tau number, because it is divible by the number of its divisors (882).

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 an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 440760759 + ... + 441239241.

Almost surely, 2^{211011003000000} is an apocalyptic number.

211011003000000 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 211011003000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439727709186714).

211011003000000 is an abundant number, since it is smaller than the sum of its proper divisors (668444415373428).

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

211011003000000 is an frugal number, since it uses more digits than its factorization.

211011003000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478545 (or 478500 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 211011003000000 its reverse (300110112), we get a palindrome (211011303110112).

The spelling of 211011003000000 in words is "two hundred eleven trillion, eleven billion, three million", and thus it is an aban number.