112100110101001 has 8 divisors (see below), whose sum is σ = 122304392990208. Its totient is φ = 101898054510000.

The previous prime is 112100110100969. The next prime is 112100110101041. The reversal of 112100110101001 is 100101011001211.

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 112100110101001 - 2⁵ = 112100110100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112100110101041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556719310 + ... + 556920631.

It is an arithmetic number, because the mean of its divisors is an integer number (15288049123776).

Almost surely, 2^{112100110101001} is an apocalyptic number.

112100110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100110101001 is a deficient number, since it is larger than the sum of its proper divisors (10204282889207).

112100110101001 is a wasteful number, since it uses less digits than its factorization.

112100110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113649103.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 112100110101001 its reverse (100101011001211), we get a palindrome (212201121102212).

The spelling of 112100110101001 in words is "one hundred twelve trillion, one hundred billion, one hundred ten million, one hundred one thousand, one".