100001001312 has 144 divisors (see below), whose sum is σ = 295046623872. Its totient is φ = 32094074880.

The previous prime is 100001001307. The next prime is 100001001319. The reversal of 100001001312 is 213100100001.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 100001001294 and 100001001303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001001319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730388 + ... + 1787244.

It is an arithmetic number, because the mean of its divisors is an integer number (2048934888).

Almost surely, 2^100001001312 is an apocalyptic number.

100001001312 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 100001001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147523311936).

100001001312 is an abundant number, since it is smaller than the sum of its proper divisors (195045622560).

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

100001001312 is a wasteful number, since it uses less digits than its factorization.

100001001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57101 (or 57090 counting only the distinct ones).

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

Adding to 100001001312 its reverse (213100100001), we get a palindrome (313101101313).

The spelling of 100001001312 in words is "one hundred billion, one million, one thousand, three hundred twelve".