211001111011000 has 128 divisors (see below), whose sum is σ = 501977693880000. Its totient is φ = 83003952960000.

The previous prime is 211001111010997. The next prime is 211001111011043. The reversal of 211001111011000 is 110111100112.

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 31 ways as a sum of consecutive naturals, for example, 8038531 + ... + 22059469.

Almost surely, 2^{211001111011000} is an apocalyptic number.

211001111011000 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 211001111011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250988846940000).

211001111011000 is an abundant number, since it is smaller than the sum of its proper divisors (290976582869000).

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

211001111011000 is a wasteful number, since it uses less digits than its factorization.

211001111011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14021210 (or 14021196 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 211001111011000 its reverse (110111100112), we get a palindrome (211111222111112).

The spelling of 211001111011000 in words is "two hundred eleven trillion, one billion, one hundred eleven million, eleven thousand".