10112000100101 has 16 divisors (see below), whose sum is σ = 10246738723200. Its totient is φ = 9978158880768.

The previous prime is 10112000100079. The next prime is 10112000100199. The reversal of 10112000100101 is 10100100021101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10112000100101 - 2¹⁰ = 10112000099077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112000100401) 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, 392031461 + ... + 392057253.

It is an arithmetic number, because the mean of its divisors is an integer number (640421170200).

Almost surely, 2^{10112000100101} is an apocalyptic number.

It is an amenable number.

10112000100101 is a deficient number, since it is larger than the sum of its proper divisors (134738623099).

10112000100101 is a wasteful number, since it uses less digits than its factorization.

10112000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42988.

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

Adding to 10112000100101 its reverse (10100100021101), we get a palindrome (20212100121202).

The spelling of 10112000100101 in words is "ten trillion, one hundred twelve billion, one hundred thousand, one hundred one".