101104243968000 has 1536 divisors, whose sum is σ = 414784006640640. Its totient is φ = 21292646400000.

The previous prime is 101104243967989. The next prime is 101104243968031. The reversal of 101104243968000 is 869342401101.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 101104243968000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53184767050 + ... + 53184768950.

It is an arithmetic number, because the mean of its divisors is an integer number (270041670990).

Almost surely, 2^{101104243968000} is an apocalyptic number.

101104243968000 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 101104243968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207392003320320).

101104243968000 is an abundant number, since it is smaller than the sum of its proper divisors (313679762672640).

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

101104243968000 is a wasteful number, since it uses less digits than its factorization.

101104243968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 101104243968000 in words is "one hundred one trillion, one hundred four billion, two hundred forty-three million, nine hundred sixty-eight thousand".