112100002010001 has 6 divisors (see below), whose sum is σ = 161922225125570. Its totient is φ = 74733334673328.

The previous prime is 112100002009927. The next prime is 112100002010011. The reversal of 112100002010001 is 100010200001211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77185800947025 + 34914201062976 = 8785545^2 + 5908824^2 .

It is not a de Polignac number, because 112100002010001 - 2¹³ = 112100002001809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12455555778889 = 112100002010001 / (1 + 1 + 2 + 1 + 0 + 0 + 0 + 0 + 2 + 0 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112100002010011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6227777889436 + ... + 6227777889453.

Almost surely, 2^{112100002010001} is an apocalyptic number.

It is an amenable number.

112100002010001 is a deficient number, since it is larger than the sum of its proper divisors (49822223115569).

112100002010001 is a wasteful number, since it uses less digits than its factorization.

112100002010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12455555778895 (or 12455555778892 counting only the distinct ones).

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

Adding to 112100002010001 its reverse (100010200001211), we get a palindrome (212110202011212).

The spelling of 112100002010001 in words is "one hundred twelve trillion, one hundred billion, two million, ten thousand, one".