112100110001 has 8 divisors (see below), whose sum is σ = 122294745984. Its totient is φ = 101906093520.

The previous prime is 112100109971. The next prime is 112100110009. The reversal of 112100110001 is 100011001211.

It is a happy number.

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

It is not a de Polignac number, because 112100110001 - 2¹⁰ = 112100108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112100110009) 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, 275495 + ... + 547811.

It is an arithmetic number, because the mean of its divisors is an integer number (15286843248).

Almost surely, 2^112100110001 is an apocalyptic number.

112100110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100110001 is a deficient number, since it is larger than the sum of its proper divisors (10194635983).

112100110001 is a wasteful number, since it uses less digits than its factorization.

112100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309751.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 112100110001 its reverse (100011001211), we get a palindrome (212111111212).

It can be divided in two parts, 11 and 2100110001, that added together give a palindrome (2100110012).

The spelling of 112100110001 in words is "one hundred twelve billion, one hundred million, one hundred ten thousand, one".