102120210213 has 32 divisors (see below), whose sum is σ = 164952910080. Its totient is φ = 54859284480.

The previous prime is 102120210193. The next prime is 102120210221. The reversal of 102120210213 is 312012021201.

It is not a de Polignac number, because 102120210213 - 2¹⁰ = 102120209189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102120210192 and 102120210201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120210253) 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 31 ways as a sum of consecutive naturals, for example, 152173 + ... + 476861.

It is an arithmetic number, because the mean of its divisors is an integer number (5154778440).

Almost surely, 2^102120210213 is an apocalyptic number.

It is an amenable number.

102120210213 is a deficient number, since it is larger than the sum of its proper divisors (62832699867).

102120210213 is a wasteful number, since it uses less digits than its factorization.

102120210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325597.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102120210213 its reverse (312012021201), we get a palindrome (414132231414).

The spelling of 102120210213 in words is "one hundred two billion, one hundred twenty million, two hundred ten thousand, two hundred thirteen".