112111010101 has 16 divisors (see below), whose sum is σ = 119212263360. Its totient is φ = 105130396800.

The previous prime is 112111010087. The next prime is 112111010147. The reversal of 112111010101 is 101010111211.

It is a cyclic number.

It is not a de Polignac number, because 112111010101 - 2⁵ = 112111010069 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 (112111010191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11311390 + ... + 11321296.

It is an arithmetic number, because the mean of its divisors is an integer number (7450766460).

Almost surely, 2^112111010101 is an apocalyptic number.

It is an amenable number.

112111010101 is a deficient number, since it is larger than the sum of its proper divisors (7101253259).

112111010101 is a wasteful number, since it uses less digits than its factorization.

112111010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924.

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

Adding to 112111010101 its reverse (101010111211), we get a palindrome (213121121312).

It can be divided in two parts, 11211 and 1010101, that multiplied together give a palindrome (11324242311).

The spelling of 112111010101 in words is "one hundred twelve billion, one hundred eleven million, ten thousand, one hundred one".