10110112000001 has 12 divisors (see below), whose sum is σ = 11214651592620. Its totient is φ = 9104791288320.

The previous prime is 10110111999997. The next prime is 10110112000019. The reversal of 10110112000001 is 10000021101101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1199594467600 + 8910517532401 = 1095260^2 + 2985049^2 .

It is not a de Polignac number, because 10110112000001 - 2² = 10110111999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110112000501) 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 11 ways as a sum of consecutive naturals, for example, 729543656 + ... + 729557513.

It is an arithmetic number, because the mean of its divisors is an integer number (934554299385).

Almost surely, 2^{10110112000001} is an apocalyptic number.

It is an amenable number.

10110112000001 is a deficient number, since it is larger than the sum of its proper divisors (1104539592619).

10110112000001 is a wasteful number, since it uses less digits than its factorization.

10110112000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459101236 (or 1459101223 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110112000001 its reverse (10000021101101), we get a palindrome (20110133101102).

The spelling of 10110112000001 in words is "ten trillion, one hundred ten billion, one hundred twelve million, one", and thus it is an aban number.