102021012 has 96 divisors (see below), whose sum is σ = 282522240. Its totient is φ = 31726080.

The previous prime is 102021001. The next prime is 102021037. The reversal of 102021012 is 210120201.

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 = 102020985 and 102021003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332163 + ... + 332469.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^102021012 is an apocalyptic number.

102021012 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 102021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

102021012 is an abundant number, since it is smaller than the sum of its proper divisors (180501228).

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

102021012 is a wasteful number, since it uses less digits than its factorization.

102021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

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

The square root of 102021012 is about 10100.5451338034. The cubic root of 102021012 is about 467.2649539567.

Adding to 102021012 its reverse (210120201), we get a palindrome (312141213).

The spelling of 102021012 in words is "one hundred two million, twenty-one thousand, twelve".