101233012320000 has 2160 divisors, whose sum is σ = 430199153704320. Its totient is φ = 22618828800000.

The previous prime is 101233012319987. The next prime is 101233012320029. The reversal of 101233012320000 is 23210332101.

101233012320000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 330 + 12 + 320 + 0 + 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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11135515455 + ... + 11135524545.

Almost surely, 2^{101233012320000} is an apocalyptic number.

101233012320000 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 101233012320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215099576852160).

101233012320000 is an abundant number, since it is smaller than the sum of its proper divisors (328966141384320).

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

101233012320000 is a wasteful number, since it uses less digits than its factorization.

101233012320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101233012320000 its reverse (23210332101), we get a palindrome (101256222652101).

The spelling of 101233012320000 in words is "one hundred one trillion, two hundred thirty-three billion, twelve million, three hundred twenty thousand".