102001668129 has 27 divisors (see below), whose sum is σ = 152633054899. Its totient is φ = 65638361040.

The previous prime is 102001668061. The next prime is 102001668137. The reversal of 102001668129 is 921866100201.

The square root of 102001668129 is 319377.

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., 53487200529 + 48514467600 = 231273^2 + 220260^2 .

It is not a de Polignac number, because 102001668129 - 2¹⁵ = 102001635361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102001668093 and 102001668102.

It is not an unprimeable number, because it can be changed into a prime (102001668149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27783964 + ... + 27787634.

Almost surely, 2^102001668129 is an apocalyptic number.

102001668129 is the 319377-th square number.

102001668129 is the 159689-th centered octagonal number.

It is an amenable number.

102001668129 is a deficient number, since it is larger than the sum of its proper divisors (50631386770).

102001668129 is an frugal number, since it uses more digits than its factorization.

102001668129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 102001668129 by its sum of digits (36), we get a square (3672060052644 = 1916262²).

The spelling of 102001668129 in words is "one hundred two billion, one million, six hundred sixty-eight thousand, one hundred twenty-nine".