120121220100 has 144 divisors (see below), whose sum is σ = 397308348416. Its totient is φ = 27448848000.

The previous prime is 120121220071. The next prime is 120121220123. The reversal of 120121220100 is 1022121021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12786405 + ... + 12795795.

Almost surely, 2^120121220100 is an apocalyptic number.

120121220100 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 120121220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198654174208).

120121220100 is an abundant number, since it is smaller than the sum of its proper divisors (277187128316).

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

120121220100 is a wasteful number, since it uses less digits than its factorization.

120121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15506 (or 15499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120121220100 its reverse (1022121021), we get a palindrome (121143341121).

The spelling of 120121220100 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".