102121213 has 2 divisors, whose sum is σ = 102121214. Its totient is φ = 102121212.

The previous prime is 102121211. The next prime is 102121231. The reversal of 102121213 is 312121201.

Together with next prime (102121231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88416409 + 13704804 = 9403^2 + 3702^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121213 - 2¹ = 102121211 is a prime.

Together with 102121211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102121193 and 102121202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060606 + 51060607.

It is an arithmetic number, because the mean of its divisors is an integer number (51060607).

Almost surely, 2^102121213 is an apocalyptic number.

It is an amenable number.

102121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121213 is an equidigital number, since it uses as much as digits as its factorization.

102121213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102121213 is about 10105.5040943043. The cubic root of 102121213 is about 467.4178802827.

Adding to 102121213 its reverse (312121201), we get a palindrome (414242414).

The spelling of 102121213 in words is "one hundred two million, one hundred twenty-one thousand, two hundred thirteen".