201111200011120 has 80 divisors (see below), whose sum is σ = 534637244026368. Its totient is φ = 68919372023040.

The previous prime is 201111200011109. The next prime is 201111200011121. The reversal of 201111200011120 is 21110002111102.

It is a happy number.

201111200011120 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 201111200011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201111200011121) 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, 84870366 + ... + 87207805.

Almost surely, 2^{201111200011120} is an apocalyptic number.

201111200011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111200011120 is an abundant number, since it is smaller than the sum of its proper divisors (333526044015248).

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

201111200011120 is a wasteful number, since it uses less digits than its factorization.

201111200011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172080278 (or 172080272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201111200011120 its reverse (21110002111102), we get a palindrome (222221202122222).

The spelling of 201111200011120 in words is "two hundred one trillion, one hundred eleven billion, two hundred million, eleven thousand, one hundred twenty".