102112010 has 96 divisors (see below), whose sum is σ = 249250176. Its totient is φ = 29088000.

The previous prime is 102112009. The next prime is 102112063. The reversal of 102112010 is 10211201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010960 + ... + 1011060.

It is an arithmetic number, because the mean of its divisors is an integer number (2596356).

Almost surely, 2^102112010 is an apocalyptic number.

102112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112010 is an abundant number, since it is smaller than the sum of its proper divisors (147138166).

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

102112010 is a wasteful number, since it uses less digits than its factorization.

102112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102112010 is about 10105.0487381309. The cubic root of 102112010 is about 467.4038388775.

Adding to 102112010 its reverse (10211201), we get a palindrome (112323211).

It can be divided in two parts, 10211 and 2010, that added together give a palindrome (12221).

The spelling of 102112010 in words is "one hundred two million, one hundred twelve thousand, ten".