680221122001 has 8 divisors (see below), whose sum is σ = 682233825384. Its totient is φ = 678208903680.

The previous prime is 680221121891. The next prime is 680221122041. The reversal of 680221122001 is 100221122086.

680221122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 201978336400 + 478242785601 = 449420^2 + 691551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 680221122001 - 2¹³ = 680221113809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680221122041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2790691 + ... + 3024631.

It is an arithmetic number, because the mean of its divisors is an integer number (85279228173).

Almost surely, 2^680221122001 is an apocalyptic number.

It is an amenable number.

680221122001 is a deficient number, since it is larger than the sum of its proper divisors (2012703383).

680221122001 is a wasteful number, since it uses less digits than its factorization.

680221122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242531.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 680221122001 its reverse (100221122086), we get a palindrome (780442244087).

The spelling of 680221122001 in words is "six hundred eighty billion, two hundred twenty-one million, one hundred twenty-two thousand, one".