102352345324401 has 16 divisors (see below), whose sum is σ = 144968104378944. Its totient is φ = 64011890225664.

The previous prime is 102352345324387. The next prime is 102352345324433. The reversal of 102352345324401 is 104423543253201.

It is a happy number.

It is not a de Polignac number, because 102352345324401 - 2³⁹ = 101802589510513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102352345324401.

It is not an unprimeable number, because it can be changed into a prime (102352345324301) 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, 3268565340 + ... + 3268596653.

It is an arithmetic number, because the mean of its divisors is an integer number (9060506523684).

Almost surely, 2^{102352345324401} is an apocalyptic number.

It is an amenable number.

102352345324401 is a deficient number, since it is larger than the sum of its proper divisors (42615759054543).

102352345324401 is a wasteful number, since it uses less digits than its factorization.

102352345324401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537162320.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 102352345324401 its reverse (104423543253201), we get a palindrome (206775888577602).

The spelling of 102352345324401 in words is "one hundred two trillion, three hundred fifty-two billion, three hundred forty-five million, three hundred twenty-four thousand, four hundred one".