112112100101001 has 64 divisors (see below), whose sum is σ = 200706257074176. Its totient is φ = 53759491430400.

The previous prime is 112112100100997. The next prime is 112112100101009. The reversal of 112112100101001 is 100101001211211.

It is not a de Polignac number, because 112112100101001 - 2² = 112112100100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112100101009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569111161 + ... + 569308121.

It is an arithmetic number, because the mean of its divisors is an integer number (3136035266784).

Almost surely, 2^{112112100101001} is an apocalyptic number.

112112100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112100101001 is a deficient number, since it is larger than the sum of its proper divisors (88594156973175).

112112100101001 is a wasteful number, since it uses less digits than its factorization.

112112100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386542.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112112100101001 its reverse (100101001211211), we get a palindrome (212213101312212).

The spelling of 112112100101001 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred million, one hundred one thousand, one".