101231712 has 72 divisors (see below), whose sum is σ = 289054584. Its totient is φ = 33606144.

The previous prime is 101231701. The next prime is 101231773. The reversal of 101231712 is 217132101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89583 + ... + 90705.

It is an arithmetic number, because the mean of its divisors is an integer number (4014647).

Almost surely, 2^101231712 is an apocalyptic number.

101231712 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 101231712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144527292).

101231712 is an abundant number, since it is smaller than the sum of its proper divisors (187822872).

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

101231712 is a wasteful number, since it uses less digits than its factorization.

101231712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101231712 is about 10061.3971196847. The cubic root of 101231712 is about 466.0568124414.

Adding to 101231712 its reverse (217132101), we get a palindrome (318363813).

The spelling of 101231712 in words is "one hundred one million, two hundred thirty-one thousand, seven hundred twelve".