102201310314 has 12 divisors (see below), whose sum is σ = 221436172386. Its totient is φ = 34067103432.

The previous prime is 102201310301. The next prime is 102201310333. The reversal of 102201310314 is 413013102201.

102201310314 is a `hidden beast` number, since 1 + 0 + 220 + 131 + 0 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53035787025 + 49165523289 = 230295^2 + 221733^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5677850573 = 102201310314 / (1 + 0 + 2 + 2 + 0 + 1 + 3 + 1 + 0 + 3 + 1 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2838925269 + ... + 2838925304.

Almost surely, 2^102201310314 is an apocalyptic number.

102201310314 is an abundant number, since it is smaller than the sum of its proper divisors (119234862072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201310314 is a wasteful number, since it uses less digits than its factorization.

102201310314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677850581 (or 5677850578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102201310314 its reverse (413013102201), we get a palindrome (515214412515).

The spelling of 102201310314 in words is "one hundred two billion, two hundred one million, three hundred ten thousand, three hundred fourteen".