120222221021100 has 864 divisors, whose sum is σ = 436248828288000. Its totient is φ = 27386278848000.

The previous prime is 120222221021017. The next prime is 120222221021107. The reversal of 120222221021100 is 1120122222021.

It is a happy number.

120222221021100 is a `hidden beast` number, since 1 + 20 + 2 + 222 + 210 + 211 + 0 + 0 = 666.

120222221021100 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 (18).

It is not an unprimeable number, because it can be changed into a prime (120222221021107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47350223631 + ... + 47350226169.

Almost surely, 2^{120222221021100} is an apocalyptic number.

120222221021100 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 120222221021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218124414144000).

120222221021100 is an abundant number, since it is smaller than the sum of its proper divisors (316026607266900).

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

120222221021100 is a wasteful number, since it uses less digits than its factorization.

120222221021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120222221021100 its reverse (1120122222021), we get a palindrome (121342343243121).

The spelling of 120222221021100 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred".