102010242213 has 48 divisors (see below), whose sum is σ = 166706668800. Its totient is φ = 61603819200.

The previous prime is 102010242199. The next prime is 102010242227. The reversal of 102010242213 is 312242010201.

It is a happy number.

102010242213 is a `hidden beast` number, since 10 + 201 + 0 + 242 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (102010242199) and next prime (102010242227).

It is not a de Polignac number, because 102010242213 - 2⁴ = 102010242197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010242253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862468 + ... + 973586.

It is an arithmetic number, because the mean of its divisors is an integer number (3473055600).

Almost surely, 2^102010242213 is an apocalyptic number.

It is an amenable number.

102010242213 is a deficient number, since it is larger than the sum of its proper divisors (64696426587).

102010242213 is a wasteful number, since it uses less digits than its factorization.

102010242213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111431 (or 111414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102010242213 its reverse (312242010201), we get a palindrome (414252252414).

The spelling of 102010242213 in words is "one hundred two billion, ten million, two hundred forty-two thousand, two hundred thirteen".