164242210642121 has 16 divisors (see below), whose sum is σ = 167754270514320. Its totient is φ = 160745471477760.

The previous prime is 164242210642079. The next prime is 164242210642163. The reversal of 164242210642121 is 121246012242461.

164242210642121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164242210642079) and next prime (164242210642163).

It can be written as a sum of positive squares in 8 ways, for example, as 4053598356025 + 160188612286096 = 2013355^2 + 12656564^2 .

It is a cyclic number.

It is not a de Polignac number, because 164242210642121 - 2¹⁴ = 164242210625737 is a prime.

It is a super-2 number, since 2×164242210642121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164242210042121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1430212721 + ... + 1430327553.

It is an arithmetic number, because the mean of its divisors is an integer number (10484641907145).

Almost surely, 2^{164242210642121} is an apocalyptic number.

It is an amenable number.

164242210642121 is a deficient number, since it is larger than the sum of its proper divisors (3512059872199).

164242210642121 is a wasteful number, since it uses less digits than its factorization.

164242210642121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181276.

The product of its (nonzero) digits is 73728, while the sum is 38.

Adding to 164242210642121 its reverse (121246012242461), we get a palindrome (285488222884582).

The spelling of 164242210642121 in words is "one hundred sixty-four trillion, two hundred forty-two billion, two hundred ten million, six hundred forty-two thousand, one hundred twenty-one".