102111200201321 has 32 divisors (see below), whose sum is σ = 112599808213536. Its totient is φ = 92199499776000.

The previous prime is 102111200201299. The next prime is 102111200201327. The reversal of 102111200201321 is 123102002111201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 50282791553296 + 51828408648025 = 7091036^2 + 7199195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111200201321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102111200201321.

It is not an unprimeable number, because it can be changed into a prime (102111200201327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163506341 + ... + 164129661.

It is an arithmetic number, because the mean of its divisors is an integer number (3518744006673).

Almost surely, 2^{102111200201321} is an apocalyptic number.

It is an amenable number.

102111200201321 is a deficient number, since it is larger than the sum of its proper divisors (10488608012215).

102111200201321 is a wasteful number, since it uses less digits than its factorization.

102111200201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627293.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102111200201321 its reverse (123102002111201), we get a palindrome (225213202312522).

The spelling of 102111200201321 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, two hundred one thousand, three hundred twenty-one".