101021312 has 64 divisors (see below), whose sum is σ = 237488640. Its totient is φ = 41886720.

The previous prime is 101021299. The next prime is 101021321. The reversal of 101021312 is 213120101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101021293 and 101021302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25958 + ... + 29594.

It is an arithmetic number, because the mean of its divisors is an integer number (3710760).

Almost surely, 2^101021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118744320).

101021312 is an abundant number, since it is smaller than the sum of its proper divisors (136467328).

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

101021312 is an equidigital number, since it uses as much as digits as its factorization.

101021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101021312 is about 10050.9358768226. The cubic root of 101021312 is about 465.7337043139.

Adding to 101021312 its reverse (213120101), we get a palindrome (314141413).

It can be divided in two parts, 1010 and 21312, that added together give a palindrome (22322).

The spelling of 101021312 in words is "one hundred one million, twenty-one thousand, three hundred twelve".