102101312 has 28 divisors (see below), whose sum is σ = 205936596. Its totient is φ = 50211840.

The previous prime is 102101297. The next prime is 102101333. The reversal of 102101312 is 213101201.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 94789696 = 2704^2 + 9736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101293 and 102101302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9173 + ... + 16980.

Almost surely, 2^102101312 is an apocalyptic number.

It is an amenable number.

102101312 is an abundant number, since it is smaller than the sum of its proper divisors (103835284).

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

102101312 is an equidigital number, since it uses as much as digits as its factorization.

102101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26226 (or 26216 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102101312 is about 10104.5193849089. The cubic root of 102101312 is about 467.3875154274.

Adding to 102101312 its reverse (213101201), we get a palindrome (315202513).

The spelling of 102101312 in words is "one hundred two million, one hundred one thousand, three hundred twelve".