100101322123000 has 256 divisors, whose sum is σ = 262011258887040. Its totient is φ = 35486171136000.

The previous prime is 100101322122961. The next prime is 100101322123009. The reversal of 100101322123000 is 321223101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101322123009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90984184 + ... + 92077816.

Almost surely, 2^{100101322123000} is an apocalyptic number.

100101322123000 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 100101322123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131005629443520).

100101322123000 is an abundant number, since it is smaller than the sum of its proper divisors (161909936764040).

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

100101322123000 is a wasteful number, since it uses less digits than its factorization.

100101322123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093875 (or 1093861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100101322123000 its reverse (321223101001), we get a palindrome (100422545224001).

The spelling of 100101322123000 in words is "one hundred trillion, one hundred one billion, three hundred twenty-two million, one hundred twenty-three thousand".