10112101100001 has 40 divisors (see below), whose sum is σ = 15169790836200. Its totient is φ = 6712869945600.

The previous prime is 10112101099967. The next prime is 10112101100027. The reversal of 10112101100001 is 10000110121101.

It can be written as a sum of positive squares in 4 ways, for example, as 5087438136225 + 5024662963776 = 2255535^2 + 2241576^2 .

It is not a de Polignac number, because 10112101100001 - 2¹³ = 10112101091809 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 (10112101100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18669915 + ... + 19203903.

It is an arithmetic number, because the mean of its divisors is an integer number (379244770905).

Almost surely, 2^{10112101100001} is an apocalyptic number.

It is an amenable number.

10112101100001 is a deficient number, since it is larger than the sum of its proper divisors (5057689736199).

10112101100001 is an equidigital number, since it uses as much as digits as its factorization.

10112101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534991 (or 534982 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10112101100001 its reverse (10000110121101), we get a palindrome (20112211221102).

The spelling of 10112101100001 in words is "ten trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one".