102212232210306 has 24 divisors (see below), whose sum is σ = 221460022331964. Its totient is φ = 34070715473760.

The previous prime is 102212232210241. The next prime is 102212232210307. The reversal of 102212232210306 is 603012232212201.

102212232210306 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 22 + 322 + 10 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100936482291225 + 1275749919081 = 10046715^2 + 1129491^2 .

It is a super-2 number, since 2×102212232210306² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102212232210306.

It is not an unprimeable number, because it can be changed into a prime (102212232210307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41347216 + ... + 43749476.

Almost surely, 2^{102212232210306} is an apocalyptic number.

102212232210306 is an abundant number, since it is smaller than the sum of its proper divisors (119247790121658).

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

102212232210306 is a wasteful number, since it uses less digits than its factorization.

102212232210306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766066 (or 4766063 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102212232210306 its reverse (603012232212201), we get a palindrome (705224464422507).

The spelling of 102212232210306 in words is "one hundred two trillion, two hundred twelve billion, two hundred thirty-two million, two hundred ten thousand, three hundred six".