201110211120 has 320 divisors, whose sum is σ = 768690800640. Its totient is φ = 42355851264.

The previous prime is 201110211097. The next prime is 201110211131. The reversal of 201110211120 is 21112011102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201110211096 and 201110211105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12593701 + ... + 12609659.

It is an arithmetic number, because the mean of its divisors is an integer number (2402158752).

Almost surely, 2^201110211120 is an apocalyptic number.

201110211120 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 201110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384345400320).

201110211120 is an abundant number, since it is smaller than the sum of its proper divisors (567580589520).

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

201110211120 is a wasteful number, since it uses less digits than its factorization.

201110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16572 (or 16566 counting only the distinct ones).

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

Adding to 201110211120 its reverse (21112011102), we get a palindrome (222222222222).

The spelling of 201110211120 in words is "two hundred one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".