201111200001120 has 192 divisors, whose sum is σ = 662011648510464. Its totient is φ = 51222820577280.

The previous prime is 201111200001119. The next prime is 201111200001137. The reversal of 201111200001120 is 21100002111102.

201111200001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201111200001096 and 201111200001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5795401 + ... + 20876040.

It is an arithmetic number, because the mean of its divisors is an integer number (3447977335992).

Almost surely, 2^{201111200001120} is an apocalyptic number.

201111200001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111200001120 is an abundant number, since it is smaller than the sum of its proper divisors (460900448509344).

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

201111200001120 is a wasteful number, since it uses less digits than its factorization.

201111200001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26672165 (or 26672157 counting only the distinct ones).

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

Adding to 201111200001120 its reverse (21100002111102), we get a palindrome (222211202112222).

The spelling of 201111200001120 in words is "two hundred one trillion, one hundred eleven billion, two hundred million, one thousand, one hundred twenty".