201111110100120 has 256 divisors, whose sum is σ = 679436267028480. Its totient is φ = 47179910131200.

The previous prime is 201111110100059. The next prime is 201111110100139. The reversal of 201111110100120 is 21001011111102.

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 = 201111110100096 and 201111110100105.

It is a congruent number.

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, 1600031917 + ... + 1600157603.

It is an arithmetic number, because the mean of its divisors is an integer number (2654047918080).

Almost surely, 2^{201111110100120} is an apocalyptic number.

201111110100120 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 201111110100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339718133514240).

201111110100120 is an abundant number, since it is smaller than the sum of its proper divisors (478325156928360).

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

201111110100120 is a wasteful number, since it uses less digits than its factorization.

201111110100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164846 (or 164842 counting only the distinct ones).

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

Adding to 201111110100120 its reverse (21001011111102), we get a palindrome (222112121211222).

The spelling of 201111110100120 in words is "two hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred twenty".