100200123232000 has 864 divisors, whose sum is σ = 297269339919552. Its totient is φ = 33494630400000.

The previous prime is 100200123231979. The next prime is 100200123232007. The reversal of 100200123232000 is 232321002001.

It is a super-3 number, since 3×100200123232000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200123232007) 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, 2830414300 + ... + 2830449700.

It is an arithmetic number, because the mean of its divisors is an integer number (344061736018).

Almost surely, 2^{100200123232000} is an apocalyptic number.

100200123232000 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 100200123232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148634669959776).

100200123232000 is an abundant number, since it is smaller than the sum of its proper divisors (197069216687552).

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

100200123232000 is a wasteful number, since it uses less digits than its factorization.

100200123232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35514 (or 35479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100200123232000 its reverse (232321002001), we get a palindrome (100432444234001).

The spelling of 100200123232000 in words is "one hundred trillion, two hundred billion, one hundred twenty-three million, two hundred thirty-two thousand".