110121201210120 has 64 divisors (see below), whose sum is σ = 331249297072320. Its totient is φ = 29286925350144.

The previous prime is 110121201210107. The next prime is 110121201210127. The reversal of 110121201210120 is 21012102121011.

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 110121201210120.

It is not an unprimeable number, because it can be changed into a prime (110121201210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230084834 + ... + 1230174353.

It is an arithmetic number, because the mean of its divisors is an integer number (5175770266755).

Almost surely, 2^{110121201210120} is an apocalyptic number.

110121201210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110121201210120 is an abundant number, since it is smaller than the sum of its proper divisors (221128095862200).

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

110121201210120 is a wasteful number, since it uses less digits than its factorization.

110121201210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460259574 (or 2460259570 counting only the distinct ones).

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

Adding to 110121201210120 its reverse (21012102121011), we get a palindrome (131133303331131).

The spelling of 110121201210120 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred one million, two hundred ten thousand, one hundred twenty".