10102534352345 has 16 divisors (see below), whose sum is σ = 12674410526592. Its totient is φ = 7715796865920.

The previous prime is 10102534352291. The next prime is 10102534352363. The reversal of 10102534352345 is 54325343520101.

It is not a de Polignac number, because 10102534352345 - 2¹⁶ = 10102534286809 is a prime.

It is a super-2 number, since 2×10102534352345² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102534352299 and 10102534352308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84247307 + ... + 84367136.

It is an arithmetic number, because the mean of its divisors is an integer number (792150657912).

Almost surely, 2^{10102534352345} is an apocalyptic number.

It is an amenable number.

10102534352345 is a deficient number, since it is larger than the sum of its proper divisors (2571876174247).

10102534352345 is a wasteful number, since it uses less digits than its factorization.

10102534352345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168614992.

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 10102534352345 its reverse (54325343520101), we get a palindrome (64427877872446).

The spelling of 10102534352345 in words is "ten trillion, one hundred two billion, five hundred thirty-four million, three hundred fifty-two thousand, three hundred forty-five".