120121110100 has 72 divisors (see below), whose sum is σ = 266336703360. Its totient is φ = 47003550720.

The previous prime is 120121110073. The next prime is 120121110119. The reversal of 120121110100 is 1011121021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 12483091 + ... + 12492709.

It is an arithmetic number, because the mean of its divisors is an integer number (3699120880).

Almost surely, 2^120121110100 is an apocalyptic number.

120121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133168351680).

120121110100 is an abundant number, since it is smaller than the sum of its proper divisors (146215593260).

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

120121110100 is a wasteful number, since it uses less digits than its factorization.

120121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120121110100 its reverse (1011121021), we get a palindrome (121132231121).

The spelling of 120121110100 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred ten thousand, one hundred".