112000101001 has 8 divisors (see below), whose sum is σ = 112138880040. Its totient is φ = 111861399552.

The previous prime is 112000100999. The next prime is 112000101041. The reversal of 112000101001 is 100101000211.

It can be written as a sum of positive squares in 4 ways, for example, as 981192976 + 111018908025 = 31324^2 + 333195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112000101001 - 2¹ = 112000100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112000101041) 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 7 ways as a sum of consecutive naturals, for example, 3190521 + ... + 3225433.

It is an arithmetic number, because the mean of its divisors is an integer number (14017360005).

Almost surely, 2^112000101001 is an apocalyptic number.

It is an amenable number.

112000101001 is a deficient number, since it is larger than the sum of its proper divisors (138779039).

112000101001 is a wasteful number, since it uses less digits than its factorization.

112000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38795.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112000101001 its reverse (100101000211), we get a palindrome (212101101212).

The spelling of 112000101001 in words is "one hundred twelve billion, one hundred one thousand, one".