100123121022300 has 216 divisors, whose sum is σ = 322564797094176. Its totient is φ = 25957536929280.

The previous prime is 100123121022293. The next prime is 100123121022329. The reversal of 100123121022300 is 3220121321001.

100123121022300 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 231 + 210 + 223 + 0 + 0 = 666.

It is a super-2 number, since 2×100123121022300² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41346849 + ... + 43701351.

Almost surely, 2^{100123121022300} is an apocalyptic number.

100123121022300 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 100123121022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161282398547088).

100123121022300 is an abundant number, since it is smaller than the sum of its proper divisors (222441676071876).

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

100123121022300 is a wasteful number, since it uses less digits than its factorization.

100123121022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355837 (or 2355827 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100123121022300 its reverse (3220121321001), we get a palindrome (103343242343301).

The spelling of 100123121022300 in words is "one hundred trillion, one hundred twenty-three billion, one hundred twenty-one million, twenty-two thousand, three hundred".