102212330221313 has 16 divisors (see below), whose sum is σ = 113626449818112. Its totient is φ = 91305631296000.

The previous prime is 102212330221283. The next prime is 102212330221427. The reversal of 102212330221313 is 313122033212201.

It is a cyclic number.

It is not a de Polignac number, because 102212330221313 - 2²⁴ = 102212313444097 is a prime.

It is a super-3 number, since 3×102212330221313³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212330221513) 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 15 ways as a sum of consecutive naturals, for example, 58955153 + ... + 60664113.

It is an arithmetic number, because the mean of its divisors is an integer number (7101653113632).

Almost surely, 2^{102212330221313} is an apocalyptic number.

102212330221313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102212330221313 is a deficient number, since it is larger than the sum of its proper divisors (11414119596799).

102212330221313 is a wasteful number, since it uses less digits than its factorization.

102212330221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857416.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102212330221313 its reverse (313122033212201), we get a palindrome (415334363433514).

The spelling of 102212330221313 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty million, two hundred twenty-one thousand, three hundred thirteen".