100120000221120 has 224 divisors, whose sum is σ = 346873361193216. Its totient is φ = 24264929894400.

The previous prime is 100120000221113. The next prime is 100120000221127. The reversal of 100120000221120 is 21122000021001.

It is an interprime number because it is at equal distance from previous prime (100120000221113) and next prime (100120000221127).

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 = 100120000221096 and 100120000221105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120000221127) 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 31 ways as a sum of consecutive naturals, for example, 37692612 + ... + 40261308.

Almost surely, 2^{100120000221120} is an apocalyptic number.

100120000221120 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 100120000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173436680596608).

100120000221120 is an abundant number, since it is smaller than the sum of its proper divisors (246753360972096).

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

100120000221120 is a wasteful number, since it uses less digits than its factorization.

100120000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572419 (or 2572409 counting only the distinct ones).

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

Adding to 100120000221120 its reverse (21122000021001), we get a palindrome (121242000242121).

The spelling of 100120000221120 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-one thousand, one hundred twenty".