101412 has 30 divisors (see below), whose sum is σ = 265958. Its totient is φ = 33696.

The previous prime is 101411. The next prime is 101419. The reversal of 101412 is 214101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 46656 = 234^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 101394 and 101403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 168 + ... + 480.

2¹⁰¹⁴¹² is an apocalyptic number.

101412 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 101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132979).

101412 is an abundant number, since it is smaller than the sum of its proper divisors (164546).

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

101412 is a wasteful number, since it uses less digits than its factorization.

101412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

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

The square root of 101412 is about 318.4525082332. The cubic root of 101412 is about 46.6333322036.

Adding to 101412 its reverse (214101), we get a palindrome (315513).

The spelling of 101412 in words is "one hundred one thousand, four hundred twelve", and thus it is an iban number.