102120012 has 72 divisors (see below), whose sum is σ = 270750480. Its totient is φ = 32417280.

The previous prime is 102120001. The next prime is 102120013. The reversal of 102120012 is 210021201.

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 = 102119976 and 102120003.

It is not an unprimeable number, because it can be changed into a prime (102120013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62664 + ... + 64272.

Almost surely, 2^102120012 is an apocalyptic number.

102120012 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 102120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135375240).

102120012 is an abundant number, since it is smaller than the sum of its proper divisors (168630468).

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

102120012 is a wasteful number, since it uses less digits than its factorization.

102120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1698 counting only the distinct ones).

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

The square root of 102120012 is about 10105.4446710672. Note that the first 3 decimals coincide. The cubic root of 102120012 is about 467.4160479142.

Adding to 102120012 its reverse (210021201), we get a palindrome (312141213).

The spelling of 102120012 in words is "one hundred two million, one hundred twenty thousand, twelve".