102132102012 has 48 divisors (see below), whose sum is σ = 241143598080. Its totient is φ = 33639484032.

The previous prime is 102132101989. The next prime is 102132102013. The reversal of 102132102012 is 210201231201.

It is a super-3 number, since 3×102132102012³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102132101982 and 102132102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132102013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643043 + ... + 1704069.

It is an arithmetic number, because the mean of its divisors is an integer number (5023824960).

Almost surely, 2^102132102012 is an apocalyptic number.

102132102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132102012 is an abundant number, since it is smaller than the sum of its proper divisors (139011496068).

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

102132102012 is a wasteful number, since it uses less digits than its factorization.

102132102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62690 (or 62688 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102132102012 its reverse (210201231201), we get a palindrome (312333333213).

The spelling of 102132102012 in words is "one hundred two billion, one hundred thirty-two million, one hundred two thousand, twelve".