102012120210 has 256 divisors, whose sum is σ = 337609617408. Its totient is φ = 19037721600.

The previous prime is 102012120209. The next prime is 102012120263. The reversal of 102012120210 is 12021210201.

102012120210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1065205 + ... + 1157015.

It is an arithmetic number, because the mean of its divisors is an integer number (1318787568).

Almost surely, 2^102012120210 is an apocalyptic number.

102012120210 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 102012120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168804808704).

102012120210 is an abundant number, since it is smaller than the sum of its proper divisors (235597497198).

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

102012120210 is a wasteful number, since it uses less digits than its factorization.

102012120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91889.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012120210 its reverse (12021210201), we get a palindrome (114033330411).

It can be divided in two parts, 102012 and 120210, that added together give a palindrome (222222).

The spelling of 102012120210 in words is "one hundred two billion, twelve million, one hundred twenty thousand, two hundred ten".