102012000210 has 96 divisors (see below), whose sum is σ = 275775252480. Its totient is φ = 27131925888.

The previous prime is 102012000203. The next prime is 102012000239. The reversal of 102012000210 is 12000210201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102012000192 and 102012000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875886 + ... + 985494.

It is an arithmetic number, because the mean of its divisors is an integer number (2872658880).

Almost surely, 2^102012000210 is an apocalyptic number.

102012000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137887626240).

102012000210 is an abundant number, since it is smaller than the sum of its proper divisors (173763252270).

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

102012000210 is a wasteful number, since it uses less digits than its factorization.

102012000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110014 (or 110002 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012000210 its reverse (12000210201), we get a palindrome (114012210411).

The spelling of 102012000210 in words is "one hundred two billion, twelve million, two hundred ten", and thus it is an aban number.