2121717007161 has 24 divisors (see below), whose sum is σ = 3083685678216. Its totient is φ = 1405723196160.

The previous prime is 2121717007147. The next prime is 2121717007187. The reversal of 2121717007161 is 1617007171212.

It can be written as a sum of positive squares in 4 ways, for example, as 7964491536 + 2113752515625 = 89244^2 + 1453875^2 .

It is not a de Polignac number, because 2121717007161 - 2²¹ = 2121714910009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121717007261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3521511 + ... + 4079763.

It is an arithmetic number, because the mean of its divisors is an integer number (128486903259).

Almost surely, 2^{2121717007161} is an apocalyptic number.

It is an amenable number.

2121717007161 is a deficient number, since it is larger than the sum of its proper divisors (961968671055).

2121717007161 is a wasteful number, since it uses less digits than its factorization.

2121717007161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560873 (or 560870 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 36.

The spelling of 2121717007161 in words is "two trillion, one hundred twenty-one billion, seven hundred seventeen million, seven thousand, one hundred sixty-one".