10002105221760 has 384 divisors, whose sum is σ = 34761431577600. Its totient is φ = 2650034921472.

The previous prime is 10002105221729. The next prime is 10002105221803. The reversal of 10002105221760 is 6712250120001.

10002105221760 is a `hidden beast` number, since 100 + 0 + 21 + 0 + 522 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2231116479 + ... + 2231120961.

It is an arithmetic number, because the mean of its divisors is an integer number (90524561400).

Almost surely, 2^{10002105221760} is an apocalyptic number.

10002105221760 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 10002105221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380715788800).

10002105221760 is an abundant number, since it is smaller than the sum of its proper divisors (24759326355840).

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

10002105221760 is a wasteful number, since it uses less digits than its factorization.

10002105221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10002105221760 its reverse (6712250120001), we get a palindrome (16714355341761).

The spelling of 10002105221760 in words is "ten trillion, two billion, one hundred five million, two hundred twenty-one thousand, seven hundred sixty".