201111021120 has 224 divisors, whose sum is σ = 666752974848. Its totient is φ = 51262216192.

The previous prime is 201111021109. The next prime is 201111021149. The reversal of 201111021120 is 21120111102.

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 = 201111021096 and 201111021105.

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 31 ways as a sum of consecutive naturals, for example, 48728497 + ... + 48732623.

Almost surely, 2^201111021120 is an apocalyptic number.

201111021120 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 201111021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333376487424).

201111021120 is an abundant number, since it is smaller than the sum of its proper divisors (465641953728).

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

201111021120 is a wasteful number, since it uses less digits than its factorization.

201111021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6367 counting only the distinct ones).

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

Adding to 201111021120 its reverse (21120111102), we get a palindrome (222231132222).

The spelling of 201111021120 in words is "two hundred one billion, one hundred eleven million, twenty-one thousand, one hundred twenty".