120010221100 has 288 divisors, whose sum is σ = 340844184576. Its totient is φ = 35563545600.

The previous prime is 120010221041. The next prime is 120010221101. The reversal of 120010221100 is 1122010021.

120010221100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (120010221101) 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 95 ways as a sum of consecutive naturals, for example, 30636342 + ... + 30640258.

It is an arithmetic number, because the mean of its divisors is an integer number (1183486752).

Almost surely, 2^120010221100 is an apocalyptic number.

120010221100 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 120010221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170422092288).

120010221100 is an abundant number, since it is smaller than the sum of its proper divisors (220833963476).

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

120010221100 is a wasteful number, since it uses less digits than its factorization.

120010221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120010221100 its reverse (1122010021), we get a palindrome (121132231121).

The spelling of 120010221100 in words is "one hundred twenty billion, ten million, two hundred twenty-one thousand, one hundred".