10000112110001 has 16 divisors (see below), whose sum is σ = 11140848810000. Its totient is φ = 8912454475008.

The previous prime is 10000112109973. The next prime is 10000112110013. The reversal of 10000112110001 is 10001121100001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 265868109376 + 9734244000625 = 515624^2 + 3119975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000112110001 - 2²² = 10000107915697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000112110031) 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 15 ways as a sum of consecutive naturals, for example, 48813155 + ... + 49017591.

It is an arithmetic number, because the mean of its divisors is an integer number (696303050625).

Almost surely, 2^{10000112110001} is an apocalyptic number.

It is an amenable number.

10000112110001 is a deficient number, since it is larger than the sum of its proper divisors (1140736699999).

10000112110001 is a wasteful number, since it uses less digits than its factorization.

10000112110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334228.

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

Adding to 10000112110001 its reverse (10001121100001), we get a palindrome (20001233210002).

The spelling of 10000112110001 in words is "ten trillion, one hundred twelve million, one hundred ten thousand, one".