100101312 has 112 divisors (see below), whose sum is σ = 300106080. Its totient is φ = 32707584.

The previous prime is 100101307. The next prime is 100101343. The reversal of 100101312 is 213101001.

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 = 100101294 and 100101303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91038 + ... + 92130.

Almost surely, 2^100101312 is an apocalyptic number.

100101312 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 100101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150053040).

100101312 is an abundant number, since it is smaller than the sum of its proper divisors (200004768).

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

100101312 is a wasteful number, since it uses less digits than its factorization.

100101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

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

The square root of 100101312 is about 10005.0643176343. The cubic root of 100101312 is about 464.3155800050.

Adding to 100101312 its reverse (213101001), we get a palindrome (313202313).

The spelling of 100101312 in words is "one hundred million, one hundred one thousand, three hundred twelve".