102012 has 12 divisors (see below), whose sum is σ = 238056. Its totient is φ = 34000.

The previous prime is 102001. The next prime is 102013. The reversal of 102012 is 210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013) by changing a digit.

102012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4239 + ... + 4262.

It is an arithmetic number, because the mean of its divisors is an integer number (19838).

2¹⁰²⁰¹² is an apocalyptic number.

102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012 is an abundant number, since it is smaller than the sum of its proper divisors (136044).

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

102012 is a wasteful number, since it uses less digits than its factorization.

102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102012 is about 319.3931746296. The cubic root of 102012 is about 46.7251194975.

Adding to 102012 its reverse (210201), we get a palindrome (312213).

It can be divided in two parts, 10201 and 2, that multiplied together give a palindrome (20402).

The spelling of 102012 in words is "one hundred two thousand, twelve", and thus it is an iban number.