102321311212201 has 16 divisors (see below), whose sum is σ = 105757769751696. Its totient is φ = 98920189495296.

The previous prime is 102321311212199. The next prime is 102321311212213. The reversal of 102321311212201 is 102212113123201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1185705387801 + 101135605824400 = 1088901^2 + 10056620^2 .

It is not a de Polignac number, because 102321311212201 - 2¹ = 102321311212199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102321311213201) 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, 560459805 + ... + 560642341.

It is an arithmetic number, because the mean of its divisors is an integer number (6609860609481).

Almost surely, 2^{102321311212201} is an apocalyptic number.

It is an amenable number.

102321311212201 is a deficient number, since it is larger than the sum of its proper divisors (3436458539495).

102321311212201 is a wasteful number, since it uses less digits than its factorization.

102321311212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279228.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102321311212201 its reverse (102212113123201), we get a palindrome (204533424335402).

The spelling of 102321311212201 in words is "one hundred two trillion, three hundred twenty-one billion, three hundred eleven million, two hundred twelve thousand, two hundred one".