201101110121200 has 60 divisors (see below), whose sum is σ = 483164169152400. Its totient is φ = 80437321953280.

The previous prime is 201101110121179. The next prime is 201101110121221. The reversal of 201101110121200 is 2121011101102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201101110121179) and next prime (201101110121221).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575952 + ... + 20063248.

It is an arithmetic number, because the mean of its divisors is an integer number (8052736152540).

Almost surely, 2^{201101110121200} is an apocalyptic number.

201101110121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101110121200 is an abundant number, since it is smaller than the sum of its proper divisors (282063059031200).

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

201101110121200 is a wasteful number, since it uses less digits than its factorization.

201101110121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19513114 (or 19513103 counting only the distinct ones).

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

Adding to 201101110121200 its reverse (2121011101102), we get a palindrome (203222121222302).

The spelling of 201101110121200 in words is "two hundred one trillion, one hundred one billion, one hundred ten million, one hundred twenty-one thousand, two hundred".