102663208921 has 45 divisors (see below), whose sum is σ = 129946454079. Its totient is φ = 81066546288.

The previous prime is 102663208897. The next prime is 102663208969. The reversal of 102663208921 is 129802366201.

The square root of 102663208921 is 320411.

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., 15186865225 + 87476343696 = 123235^2 + 295764^2 .

It is not a de Polignac number, because 102663208921 - 2¹⁵ = 102663176153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102663208321) 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, 204101556 + ... + 204102058.

Almost surely, 2^102663208921 is an apocalyptic number.

102663208921 is the 320411-st square number.

102663208921 is the 160206-th centered octagonal number.

It is an amenable number.

102663208921 is a deficient number, since it is larger than the sum of its proper divisors (27283245158).

102663208921 is an frugal number, since it uses more digits than its factorization.

102663208921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 102663208921 in words is "one hundred two billion, six hundred sixty-three million, two hundred eight thousand, nine hundred twenty-one".