201101101200120 has 512 divisors, whose sum is σ = 688476184704000. Its totient is φ = 46562377728000.

The previous prime is 201101101200101. The next prime is 201101101200193. The reversal of 201101101200120 is 21002101101102.

201101101200120 is digitally balanced in base 3, 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 = 201101101200096 and 201101101200105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 769401616 + ... + 769662944.

It is an arithmetic number, because the mean of its divisors is an integer number (1344680048250).

Almost surely, 2^{201101101200120} is an apocalyptic number.

201101101200120 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 201101101200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344238092352000).

201101101200120 is an abundant number, since it is smaller than the sum of its proper divisors (487375083503880).

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

201101101200120 is a wasteful number, since it uses less digits than its factorization.

201101101200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261695 (or 261691 counting only the distinct ones).

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

Adding to 201101101200120 its reverse (21002101101102), we get a palindrome (222103202301222).

The spelling of 201101101200120 in words is "two hundred one trillion, one hundred one billion, one hundred one million, two hundred thousand, one hundred twenty".