102330464033201 has 16 divisors (see below), whose sum is σ = 104493964237200. Its totient is φ = 100187614752768.

The previous prime is 102330464033183. The next prime is 102330464033263.

102330464033201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 292161870400 + 102038302162801 = 540520^2 + 10101401^2 .

It is a cyclic number.

It is not a de Polignac number, because 102330464033201 - 2¹⁰ = 102330464032177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102330464039201) 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, 243104045 + ... + 243524613.

It is an arithmetic number, because the mean of its divisors is an integer number (6530872764825).

Almost surely, 2^{102330464033201} is an apocalyptic number.

It is an amenable number.

102330464033201 is a deficient number, since it is larger than the sum of its proper divisors (2163500203999).

102330464033201 is a wasteful number, since it uses less digits than its factorization.

102330464033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445108.

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 102330464033201 in words is "one hundred two trillion, three hundred thirty billion, four hundred sixty-four million, thirty-three thousand, two hundred one".