201120201101120 has 112 divisors (see below), whose sum is σ = 549724368915840. Its totient is φ = 68654381635584.

The previous prime is 201120201101093. The next prime is 201120201101123. The reversal of 201120201101120 is 21101102021102.

201120201101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201120201101095 and 201120201101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120201101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195525914 + ... + 196551833.

Almost surely, 2^{201120201101120} is an apocalyptic number.

201120201101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120201101120 is an abundant number, since it is smaller than the sum of its proper divisors (348604167814720).

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

201120201101120 is a wasteful number, since it uses less digits than its factorization.

201120201101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392078000 (or 392077990 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201120201101120 its reverse (21101102021102), we get a palindrome (222221303122222).

The spelling of 201120201101120 in words is "two hundred one trillion, one hundred twenty billion, two hundred one million, one hundred one thousand, one hundred twenty".