21165201066141 has 32 divisors (see below), whose sum is σ = 34767146010240. Its totient is φ = 12617109417600.

The previous prime is 21165201066071. The next prime is 21165201066151. The reversal of 21165201066141 is 14166010256112.

21165201066141 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 5 + 20 + 10 + 6 + 614 + 1 = 666.

It is not a de Polignac number, because 21165201066141 - 2²⁹ = 21164664195229 is a prime.

It is a super-2 number, since 2×21165201066141² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21165201066096 and 21165201066105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21165201066151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 584107320 + ... + 584143553.

It is an arithmetic number, because the mean of its divisors is an integer number (1086473312820).

Almost surely, 2^{21165201066141} is an apocalyptic number.

It is an amenable number.

21165201066141 is a deficient number, since it is larger than the sum of its proper divisors (13601944944099).

21165201066141 is a wasteful number, since it uses less digits than its factorization.

21165201066141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168250954 (or 1168250948 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21165201066141 in words is "twenty-one trillion, one hundred sixty-five billion, two hundred one million, sixty-six thousand, one hundred forty-one".