102212513 has 8 divisors (see below), whose sum is σ = 110154408. Its totient is φ = 94281984.

The previous prime is 102212507. The next prime is 102212519. The reversal of 102212513 is 315212201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102212507) and next prime (102212519).

It can be written as a sum of positive squares in 4 ways, for example, as 59336209 + 42876304 = 7703^2 + 6548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102212513 - 2¹² = 102208417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212491 and 102212500.

It is not an unprimeable number, because it can be changed into a prime (102212519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29795 + ... + 33047.

It is an arithmetic number, because the mean of its divisors is an integer number (13769301).

Almost surely, 2^102212513 is an apocalyptic number.

102212513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102212513 is a deficient number, since it is larger than the sum of its proper divisors (7941895).

102212513 is a wasteful number, since it uses less digits than its factorization.

102212513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 102212513 is about 10110.0204253008. The cubic root of 102212513 is about 467.5571348665.

Adding to 102212513 its reverse (315212201), we get a palindrome (417424714).

The spelling of 102212513 in words is "one hundred two million, two hundred twelve thousand, five hundred thirteen".