10002311112112 has 80 divisors (see below), whose sum is σ = 21881604487680. Its totient is φ = 4387451398400.

The previous prime is 10002311112103. The next prime is 10002311112121. The reversal of 10002311112112 is 21121111320001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10002311112103) and next prime (10002311112121).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9348393 + ... + 10363255.

It is an arithmetic number, because the mean of its divisors is an integer number (273520056096).

Almost surely, 2^{10002311112112} 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 10002311112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940802243840).

10002311112112 is an abundant number, since it is smaller than the sum of its proper divisors (11879293375568).

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

10002311112112 is a wasteful number, since it uses less digits than its factorization.

10002311112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016842 (or 1016836 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10002311112112 its reverse (21121111320001), we get a palindrome (31123422432113).

The spelling of 10002311112112 in words is "ten trillion, two billion, three hundred eleven million, one hundred twelve thousand, one hundred twelve".