10012112000001 has 32 divisors (see below), whose sum is σ = 14843173847040. Its totient is φ = 6670055955600.

The previous prime is 10012111999973. The next prime is 10012112000003. The reversal of 10012112000001 is 10000021121001.

It is a happy number.

It is not a de Polignac number, because 10012112000001 - 2¹⁸ = 10012111737857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10012112000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285138436 + ... + 285173546.

It is an arithmetic number, because the mean of its divisors is an integer number (463849182720).

Almost surely, 2^{10012112000001} is an apocalyptic number.

It is an amenable number.

10012112000001 is a deficient number, since it is larger than the sum of its proper divisors (4831061847039).

10012112000001 is a wasteful number, since it uses less digits than its factorization.

10012112000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42234 (or 42228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012112000001 its reverse (10000021121001), we get a palindrome (20012133121002).

The spelling of 10012112000001 in words is "ten trillion, twelve billion, one hundred twelve million, one", and thus it is an aban number.