100223122212120 has 256 divisors, whose sum is σ = 311567211970560. Its totient is φ = 25771360591872.

The previous prime is 100223122212071. The next prime is 100223122212151. The reversal of 100223122212120 is 21212221322001.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 249678217 + ... + 250079303.

It is an arithmetic number, because the mean of its divisors is an integer number (1217059421760).

Almost surely, 2^{100223122212120} is an apocalyptic number.

100223122212120 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 100223122212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155783605985280).

100223122212120 is an abundant number, since it is smaller than the sum of its proper divisors (211344089758440).

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

100223122212120 is a wasteful number, since it uses less digits than its factorization.

100223122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401642 (or 401638 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100223122212120 its reverse (21212221322001), we get a palindrome (121435343534121).

The spelling of 100223122212120 in words is "one hundred trillion, two hundred twenty-three billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".