102102120210012 has 96 divisors (see below), whose sum is σ = 256801939625280. Its totient is φ = 31386944378880.

The previous prime is 102102120209989. The next prime is 102102120210037. The reversal of 102102120210012 is 210012021201201.

It is a junction number, because it is equal to n+sod(n) for n = 102102120209973 and 102102120210000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2082289848 + ... + 2082338880.

It is an arithmetic number, because the mean of its divisors is an integer number (2675020204430).

Almost surely, 2^{102102120210012} is an apocalyptic number.

102102120210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102120210012 is an abundant number, since it is smaller than the sum of its proper divisors (154699819415268).

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

102102120210012 is a wasteful number, since it uses less digits than its factorization.

102102120210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61143 (or 61141 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102102120210012 its reverse (210012021201201), we get a palindrome (312114141411213).

The spelling of 102102120210012 in words is "one hundred two trillion, one hundred two billion, one hundred twenty million, two hundred ten thousand, twelve".