112100000101 has 8 divisors (see below), whose sum is σ = 119099222424. Its totient is φ = 105145789440.

The previous prime is 112100000099. The next prime is 112100000123. The reversal of 112100000101 is 101000001211.

It can be written as a sum of positive squares in 4 ways, for example, as 19154283201 + 92945716900 = 138399^2 + 304870^2 .

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 112100000101 - 2¹ = 112100000099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100000141) 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 7 ways as a sum of consecutive naturals, for example, 11247780 + ... + 11257741.

It is an arithmetic number, because the mean of its divisors is an integer number (14887402803).

Almost surely, 2^112100000101 is an apocalyptic number.

It is an amenable number.

112100000101 is a deficient number, since it is larger than the sum of its proper divisors (6999222323).

112100000101 is a wasteful number, since it uses less digits than its factorization.

112100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22505831.

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

Adding to 112100000101 its reverse (101000001211), we get a palindrome (213100001312).

The spelling of 112100000101 in words is "one hundred twelve billion, one hundred million, one hundred one", and thus it is an aban number.