102213320213232 has 80 divisors (see below), whose sum is σ = 293403875429280. Its totient is φ = 34069505361408.

The previous prime is 102213320213209. The next prime is 102213320213261. The reversal of 102213320213232 is 232312023312201.

102213320213232 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 332 + 0 + 2 + 1 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102213320213196 and 102213320213205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3659268 + ... + 14758620.

It is an arithmetic number, because the mean of its divisors is an integer number (3667548442866).

Almost surely, 2^{102213320213232} is an apocalyptic number.

102213320213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213320213232 is an abundant number, since it is smaller than the sum of its proper divisors (191190555216048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213320213232 is a wasteful number, since it uses less digits than its factorization.

102213320213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120687 (or 11120675 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102213320213232 its reverse (232312023312201), we get a palindrome (334525343525433).

The spelling of 102213320213232 in words is "one hundred two trillion, two hundred thirteen billion, three hundred twenty million, two hundred thirteen thousand, two hundred thirty-two".