10012112311329 has 48 divisors (see below), whose sum is σ = 14565454525440. Its totient is φ = 6627151964160.

The previous prime is 10012112311309. The next prime is 10012112311387. The reversal of 10012112311329 is 92311321121001.

10012112311329 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 1 + 2 + 311 + 329 = 666.

It is not a de Polignac number, because 10012112311329 - 2¹² = 10012112307233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012112311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2218502577 + ... + 2218507089.

It is an arithmetic number, because the mean of its divisors is an integer number (303446969280).

Almost surely, 2^{10012112311329} is an apocalyptic number.

It is an amenable number.

10012112311329 is a deficient number, since it is larger than the sum of its proper divisors (4553342214111).

10012112311329 is a wasteful number, since it uses less digits than its factorization.

10012112311329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10012112311329 in words is "ten trillion, twelve billion, one hundred twelve million, three hundred eleven thousand, three hundred twenty-nine".