201111110221120 has 224 divisors, whose sum is σ = 527246857656576. Its totient is φ = 72457762406400.

The previous prime is 201111110221111. The next prime is 201111110221141. The reversal of 201111110221120 is 21122011111102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201111110221094 and 201111110221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110057582 + ... + 1110238738.

Almost surely, 2^{201111110221120} is an apocalyptic number.

201111110221120 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 201111110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263623428828288).

201111110221120 is an abundant number, since it is smaller than the sum of its proper divisors (326135747435456).

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

201111110221120 is a wasteful number, since it uses less digits than its factorization.

201111110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184089 (or 184079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 201111110221120 its reverse (21122011111102), we get a palindrome (222233121332222).

The spelling of 201111110221120 in words is "two hundred one trillion, one hundred eleven billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".