201110201111120 has 80 divisors (see below), whose sum is σ = 557612383737600. Its totient is φ = 65954152906752.

The previous prime is 201110201111077. The next prime is 201110201111123. The reversal of 201110201111120 is 21111102011102.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 201110201111095 and 201110201111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110201111123) 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, 7807060145 + ... + 7807085904.

It is an arithmetic number, because the mean of its divisors is an integer number (6970154796720).

Almost surely, 2^{201110201111120} is an apocalyptic number.

201110201111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110201111120 is an abundant number, since it is smaller than the sum of its proper divisors (356502182626480).

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

201110201111120 is a wasteful number, since it uses less digits than its factorization.

201110201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614146092 (or 15614146086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201110201111120 its reverse (21111102011102), we get a palindrome (222221303122222).

The spelling of 201110201111120 in words is "two hundred one trillion, one hundred ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty".