10001002312 has 48 divisors (see below), whose sum is σ = 21911420160. Its totient is φ = 4266886176.

The previous prime is 10001002309. The next prime is 10001002327. The reversal of 10001002312 is 21320010001.

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, 30213 + ... + 144619.

It is an arithmetic number, because the mean of its divisors is an integer number (456487920).

Almost surely, 2^10001002312 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 10001002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955710080).

10001002312 is an abundant number, since it is smaller than the sum of its proper divisors (11910417848).

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

10001002312 is a wasteful number, since it uses less digits than its factorization.

10001002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114650 (or 114639 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10001002312 its reverse (21320010001), we get a palindrome (31321012313).

The spelling of 10001002312 in words is "ten billion, one million, two thousand, three hundred twelve".