100123321122000 has 480 divisors, whose sum is σ = 391798574429184. Its totient is φ = 23616309888000.

The previous prime is 100123321121959. The next prime is 100123321122007. The reversal of 100123321122000 is 221123321001.

100123321122000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 233 + 211 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123321122007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492577 + ... + 14159423.

Almost surely, 2^{100123321122000} is an apocalyptic number.

100123321122000 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 100123321122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195899287214592).

100123321122000 is an abundant number, since it is smaller than the sum of its proper divisors (291675253307184).

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

100123321122000 is a wasteful number, since it uses less digits than its factorization.

100123321122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666924 (or 13666905 counting only the distinct ones).

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

Adding to 100123321122000 its reverse (221123321001), we get a palindrome (100344444443001).

It can be divided in two parts, 100123 and 321122000, that added together give a palindrome (321222123).

The spelling of 100123321122000 in words is "one hundred trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-two thousand".