112120111001 has 16 divisors (see below), whose sum is σ = 114556041600. Its totient is φ = 109713719808.

The previous prime is 112120110937. The next prime is 112120111111. The reversal of 112120111001 is 100111021211.

It is a cyclic number.

It is not a de Polignac number, because 112120111001 - 2⁶ = 112120110937 is a prime.

It is a super-2 number, since 2×112120111001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112120111801) 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 15 ways as a sum of consecutive naturals, for example, 6575555 + ... + 6592583.

It is an arithmetic number, because the mean of its divisors is an integer number (7159752600).

Almost surely, 2^112120111001 is an apocalyptic number.

It is an amenable number.

112120111001 is a deficient number, since it is larger than the sum of its proper divisors (2435930599).

112120111001 is a wasteful number, since it uses less digits than its factorization.

112120111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17888.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112120111001 its reverse (100111021211), we get a palindrome (212231132212).

The spelling of 112120111001 in words is "one hundred twelve billion, one hundred twenty million, one hundred eleven thousand, one".