211120201110000 has 800 divisors, whose sum is σ = 839035516290048. Its totient is φ = 44531481600000.

The previous prime is 211120201109999. The next prime is 211120201110001. The reversal of 211120201110000 is 11102021112.

It is an interprime number because it is at equal distance from previous prime (211120201109999) and next prime (211120201110001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120201110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12167601325 + ... + 12167618675.

Almost surely, 2^{211120201110000} is an apocalyptic number.

211120201110000 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 211120201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419517758145024).

211120201110000 is an abundant number, since it is smaller than the sum of its proper divisors (627915315180048).

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

211120201110000 is a wasteful number, since it uses less digits than its factorization.

211120201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21859 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211120201110000 its reverse (11102021112), we get a palindrome (211131303131112).

The spelling of 211120201110000 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million, one hundred ten thousand".