102565322101 has 8 divisors (see below), whose sum is σ = 113559434784. Its totient is φ = 91849541520.

The previous prime is 102565322099. The next prime is 102565322161. The reversal of 102565322101 is 101223565201.

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

It is not a de Polignac number, because 102565322101 - 2¹ = 102565322099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102565322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102565322161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69582250 + ... + 69583723.

It is an arithmetic number, because the mean of its divisors is an integer number (14194929348).

Almost surely, 2^102565322101 is an apocalyptic number.

102565322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102565322101 is a deficient number, since it is larger than the sum of its proper divisors (10994112683).

102565322101 is a wasteful number, since it uses less digits than its factorization.

102565322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139166051.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 102565322101 its reverse (101223565201), we get a palindrome (203788887302).

Subtracting from 102565322101 its reverse (101223565201), we obtain a square (1341756900 = 36630²).

The spelling of 102565322101 in words is "one hundred two billion, five hundred sixty-five million, three hundred twenty-two thousand, one hundred one".