102161419129 has 45 divisors (see below), whose sum is σ = 131222141519. Its totient is φ = 79472057280.

The previous prime is 102161419127. The next prime is 102161419163. The reversal of 102161419129 is 921914161201.

The square root of 102161419129 is 319627.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62817903225 + 39343515904 = 250635^2 + 198352^2 .

It is not a de Polignac number, because 102161419129 - 2¹ = 102161419127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102161419123) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172278657 + ... + 172279249.

Almost surely, 2^102161419129 is an apocalyptic number.

102161419129 is the 319627-th square number.

102161419129 is the 159814-th centered octagonal number.

It is an amenable number.

102161419129 is a deficient number, since it is larger than the sum of its proper divisors (29060722390).

102161419129 is an frugal number, since it uses more digits than its factorization.

102161419129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 102161419129 in words is "one hundred two billion, one hundred sixty-one million, four hundred nineteen thousand, one hundred twenty-nine".