7282101103200 has 864 divisors, whose sum is σ = 33047576819712. Its totient is φ = 1464348672000.

The previous prime is 7282101103181. The next prime is 7282101103229. The reversal of 7282101103200 is 23011012827.

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 143 ways as a sum of consecutive naturals, for example, 16974544 + ... + 17398256.

It is an arithmetic number, because the mean of its divisors is an integer number (38249510208).

Almost surely, 2^{7282101103200} is an apocalyptic number.

7282101103200 is a gapful number since it is divisible by the number (70) 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 7282101103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523788409856).

7282101103200 is an abundant number, since it is smaller than the sum of its proper divisors (25765475716512).

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

7282101103200 is a wasteful number, since it uses less digits than its factorization.

7282101103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423788 (or 423772 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 7282101103200 in words is "seven trillion, two hundred eighty-two billion, one hundred one million, one hundred three thousand, two hundred".