102012010210012 has 120 divisors (see below), whose sum is σ = 219371898367440. Its totient is φ = 41390333994240.

The previous prime is 102012010209983. The next prime is 102012010210343. The reversal of 102012010210012 is 210012010210201.

It is a junction number, because it is equal to n+sod(n) for n = 102012010209974 and 102012010210001.

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 39 ways as a sum of consecutive naturals, for example, 270058218 + ... + 270435694.

It is an arithmetic number, because the mean of its divisors is an integer number (1828099153062).

Almost surely, 2^{102012010210012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012010210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109685949183720).

102012010210012 is an abundant number, since it is smaller than the sum of its proper divisors (117359888157428).

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

102012010210012 is a wasteful number, since it uses less digits than its factorization.

102012010210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379009 (or 378986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012010210012 its reverse (210012010210201), we get a palindrome (312024020420213).

The spelling of 102012010210012 in words is "one hundred two trillion, twelve billion, ten million, two hundred ten thousand, twelve".