102013212 has 48 divisors (see below), whose sum is σ = 274023680. Its totient is φ = 28933632.

The previous prime is 102013201. The next prime is 102013217. The reversal of 102013212 is 212310201.

It is a super-3 number, since 3×102013212³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7308 + ... + 16044.

Almost surely, 2^102013212 is an apocalyptic number.

102013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137011840).

102013212 is an abundant number, since it is smaller than the sum of its proper divisors (172010468).

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

102013212 is a wasteful number, since it uses less digits than its factorization.

102013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102013212 is about 10100.1590086493. The cubic root of 102013212 is about 467.2530454310.

Adding to 102013212 its reverse (212310201), we get a palindrome (314323413).

The spelling of 102013212 in words is "one hundred two million, thirteen thousand, two hundred twelve".