21164006117 has 6 divisors (see below), whose sum is σ = 22124188422. Its totient is φ = 20243831432.

The previous prime is 21164006113. The next prime is 21164006137. The reversal of 21164006117 is 71160046112.

It can be written as a sum of positive squares in only one way, i.e., 13992287521 + 7171718596 = 118289^2 + 84686^2 .

It is not a de Polignac number, because 21164006117 - 2² = 21164006113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21164006117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21164006113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20003258 + ... + 20004315.

It is an arithmetic number, because the mean of its divisors is an integer number (3687364737).

Almost surely, 2^21164006117 is an apocalyptic number.

It is an amenable number.

21164006117 is a deficient number, since it is larger than the sum of its proper divisors (960182305).

21164006117 is an equidigital number, since it uses as much as digits as its factorization.

21164006117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40007619 (or 40007596 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 21164006117 in words is "twenty-one billion, one hundred sixty-four million, six thousand, one hundred seventeen".