201111100101120 has 640 divisors, whose sum is σ = 704774360125440. Its totient is φ = 48518184960000.

The previous prime is 201111100101017. The next prime is 201111100101143. The reversal of 201111100101120 is 21101001111102.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 201111100101096 and 201111100101105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47872195020 + ... + 47872199220.

It is an arithmetic number, because the mean of its divisors is an integer number (1101209937696).

Almost surely, 2^{201111100101120} is an apocalyptic number.

201111100101120 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 201111100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352387180062720).

201111100101120 is an abundant number, since it is smaller than the sum of its proper divisors (503663260024320).

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

201111100101120 is a wasteful number, since it uses less digits than its factorization.

201111100101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201111100101120 its reverse (21101001111102), we get a palindrome (222212101212222).

The spelling of 201111100101120 in words is "two hundred one trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred twenty".