100221101223120 has 480 divisors, whose sum is σ = 340027150619520. Its totient is φ = 26453429452800.

The previous prime is 100221101223101. The next prime is 100221101223239. The reversal of 100221101223120 is 21322101122001.

100221101223120 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 10 + 122 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100221101223093 and 100221101223102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20875044720 + ... + 20875049520.

It is an arithmetic number, because the mean of its divisors is an integer number (708389897124).

Almost surely, 2^{100221101223120} is an apocalyptic number.

100221101223120 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 100221101223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170013575309760).

100221101223120 is an abundant number, since it is smaller than the sum of its proper divisors (239806049396400).

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

100221101223120 is a wasteful number, since it uses less digits than its factorization.

100221101223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100221101223120 its reverse (21322101122001), we get a palindrome (121543202345121).

The spelling of 100221101223120 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-three thousand, one hundred twenty".