102314011201 has 16 divisors (see below), whose sum is σ = 103164138000. Its totient is φ = 101468602368.

The previous prime is 102314011171. The next prime is 102314011223. The reversal of 102314011201 is 102110413201.

It can be written as a sum of positive squares in 8 ways, for example, as 22351745025 + 79962266176 = 149505^2 + 282776^2 .

It is a cyclic number.

It is not a de Polignac number, because 102314011201 - 2⁷ = 102314011073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102314018201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88736641 + ... + 88737793.

It is an arithmetic number, because the mean of its divisors is an integer number (6447758625).

Almost surely, 2^102314011201 is an apocalyptic number.

It is an amenable number.

102314011201 is a deficient number, since it is larger than the sum of its proper divisors (850126799).

102314011201 is a wasteful number, since it uses less digits than its factorization.

102314011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102314011201 its reverse (102110413201), we get a palindrome (204424424402).

The spelling of 102314011201 in words is "one hundred two billion, three hundred fourteen million, eleven thousand, two hundred one".