10101312 has 168 divisors, whose sum is σ = 33284160. Its totient is φ = 2903040.

The previous prime is 10101307. The next prime is 10101317. The reversal of 10101312 is 21310101.

It is an interprime number because it is at equal distance from previous prime (10101307) and next prime (10101317).

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 = 10101294 and 10101303.

It is not an unprimeable number, because it can be changed into a prime (10101317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142237 + ... + 142307.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^10101312 is an apocalyptic number.

10101312 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 10101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

10101312 is an abundant number, since it is smaller than the sum of its proper divisors (23182848).

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

10101312 is a wasteful number, since it uses less digits than its factorization.

10101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10101312 is about 3178.2561256135. The cubic root of 10101312 is about 216.1685926554.

Adding to 10101312 its reverse (21310101), we get a palindrome (31411413).

It can be divided in two parts, 101013 and 12, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 10101312 in words is "ten million, one hundred one thousand, three hundred twelve".