100011221021120 has 224 divisors, whose sum is σ = 254712496513536. Its totient is φ = 37320814080000.

The previous prime is 100011221021081. The next prime is 100011221021161. The reversal of 100011221021120 is 21120122110001.

It is a junction number, because it is equal to n+sod(n) for n = 100011221021095 and 100011221021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48801095 + ... + 50809145.

Almost surely, 2^{100011221021120} is an apocalyptic number.

100011221021120 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 100011221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127356248256768).

100011221021120 is an abundant number, since it is smaller than the sum of its proper divisors (154701275492416).

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

100011221021120 is a wasteful number, since it uses less digits than its factorization.

100011221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008259 (or 2008249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100011221021120 its reverse (21120122110001), we get a palindrome (121131343131121).

The spelling of 100011221021120 in words is "one hundred trillion, eleven billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".