102213220213 has 8 divisors (see below), whose sum is σ = 110370890168. Its totient is φ = 94097709504.

The previous prime is 102213220177. The next prime is 102213220259. The reversal of 102213220213 is 312022312201.

It can be written as a sum of positive squares in 4 ways, for example, as 4073247684 + 98139972529 = 63822^2 + 313273^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102213220213 is a prime.

It is a super-2 number, since 2×102213220213² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213220313) 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 7 ways as a sum of consecutive naturals, for example, 10534770 + ... + 10544467.

It is an arithmetic number, because the mean of its divisors is an integer number (13796361271).

Almost surely, 2^102213220213 is an apocalyptic number.

102213220213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102213220213 is a deficient number, since it is larger than the sum of its proper divisors (8157669955).

102213220213 is a wasteful number, since it uses less digits than its factorization.

102213220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21079623.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102213220213 its reverse (312022312201), we get a palindrome (414235532414).

The spelling of 102213220213 in words is "one hundred two billion, two hundred thirteen million, two hundred twenty thousand, two hundred thirteen".