100231123212000 has 1152 divisors, whose sum is σ = 412291259452800. Its totient is φ = 22826409984000.

The previous prime is 100231123211993. The next prime is 100231123212079. The reversal of 100231123212000 is 212321132001.

100231123212000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 311 + 232 + 120 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 424790056 + ... + 425025944.

It is an arithmetic number, because the mean of its divisors is an integer number (357891718275).

Almost surely, 2^{100231123212000} is an apocalyptic number.

100231123212000 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 100231123212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206145629726400).

100231123212000 is an abundant number, since it is smaller than the sum of its proper divisors (312060136240800).

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

100231123212000 is a wasteful number, since it uses less digits than its factorization.

100231123212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235997 (or 235976 counting only the distinct ones).

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

Adding to 100231123212000 its reverse (212321132001), we get a palindrome (100443444344001).

The spelling of 100231123212000 in words is "one hundred trillion, two hundred thirty-one billion, one hundred twenty-three million, two hundred twelve thousand".