102345595543201 has 8 divisors (see below), whose sum is σ = 102439638100800. Its totient is φ = 102251573228400.

The previous prime is 102345595543151. The next prime is 102345595543207.

102345595543201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102345595543201 - 2¹⁷ = 102345595412129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102345595543207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5065051 + ... + 15177151.

It is an arithmetic number, because the mean of its divisors is an integer number (12804954762600).

Almost surely, 2^{102345595543201} is an apocalyptic number.

It is an amenable number.

102345595543201 is a deficient number, since it is larger than the sum of its proper divisors (94042557599).

102345595543201 is a wasteful number, since it uses less digits than its factorization.

102345595543201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121399.

The product of its (nonzero) digits is 3240000, while the sum is 49.

The spelling of 102345595543201 in words is "one hundred two trillion, three hundred forty-five billion, five hundred ninety-five million, five hundred forty-three thousand, two hundred one".