21171767743201 has 8 divisors (see below), whose sum is σ = 21241905966720. Its totient is φ = 21101704657488.

The previous prime is 21171767743199. The next prime is 21171767743237. The reversal of 21171767743201 is 10234776717112.

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 21171767743201 - 2¹ = 21171767743199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21171767743241) 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, 18219946 + ... + 19347091.

It is an arithmetic number, because the mean of its divisors is an integer number (2655238245840).

Almost surely, 2^{21171767743201} is an apocalyptic number.

It is an amenable number.

21171767743201 is a deficient number, since it is larger than the sum of its proper divisors (70138223519).

21171767743201 is a wasteful number, since it uses less digits than its factorization.

21171767743201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37568903.

The product of its (nonzero) digits is 691488, while the sum is 49.

The spelling of 21171767743201 in words is "twenty-one trillion, one hundred seventy-one billion, seven hundred sixty-seven million, seven hundred forty-three thousand, two hundred one".