201110013301120 has 128 divisors (see below), whose sum is σ = 599412312518400. Its totient is φ = 62683640494080.

The previous prime is 201110013301069. The next prime is 201110013301151. The reversal of 201110013301120 is 21103310011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201110013301094 and 201110013301103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040433810 + ... + 2040532369.

It is an arithmetic number, because the mean of its divisors is an integer number (4682908691550).

Almost surely, 2^{201110013301120} is an apocalyptic number.

201110013301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110013301120 is an abundant number, since it is smaller than the sum of its proper divisors (398302299217280).

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

201110013301120 is a wasteful number, since it uses less digits than its factorization.

201110013301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080966216 (or 4080966204 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 201110013301120 its reverse (21103310011102), we get a palindrome (222213323312222).

The spelling of 201110013301120 in words is "two hundred one trillion, one hundred ten billion, thirteen million, three hundred one thousand, one hundred twenty".