201110121102120 has 32 divisors (see below), whose sum is σ = 603330363306720. Its totient is φ = 53629365627200.

The previous prime is 201110121102053. The next prime is 201110121102133. The reversal of 201110121102120 is 21201121011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201110121102120.

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 7 ways as a sum of consecutive naturals, for example, 837958837806 + ... + 837958838045.

It is an arithmetic number, because the mean of its divisors is an integer number (18854073853335).

Almost surely, 2^{201110121102120} is an apocalyptic number.

201110121102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110121102120 is an abundant number, since it is smaller than the sum of its proper divisors (402220242204600).

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

201110121102120 is a wasteful number, since it uses less digits than its factorization.

201110121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675917675865 (or 1675917675861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201110121102120 its reverse (21201121011102), we get a palindrome (222311242113222).

The spelling of 201110121102120 in words is "two hundred one trillion, one hundred ten billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".