100221120120 has 192 divisors, whose sum is σ = 331572447360. Its totient is φ = 24215811840.

The previous prime is 100221120107. The next prime is 100221120121. The reversal of 100221120120 is 21021122001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100221120096 and 100221120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221120121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4446399 + ... + 4468881.

It is an arithmetic number, because the mean of its divisors is an integer number (1726939830).

Almost surely, 2^100221120120 is an apocalyptic number.

100221120120 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 100221120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165786223680).

100221120120 is an abundant number, since it is smaller than the sum of its proper divisors (231351327240).

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

100221120120 is a wasteful number, since it uses less digits than its factorization.

100221120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22826 (or 22811 counting only the distinct ones).

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

Adding to 100221120120 its reverse (21021122001), we get a palindrome (121242242121).

The spelling of 100221120120 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".