2110112120101 has 16 divisors (see below), whose sum is σ = 2129644944000. Its totient is φ = 2090659392000.

The previous prime is 2110112120093. The next prime is 2110112120119. The reversal of 2110112120101 is 1010212110112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2110112120101 - 2³ = 2110112120093 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 (2110112120131) 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, 98038221 + ... + 98059741.

It is an arithmetic number, because the mean of its divisors is an integer number (133102809000).

Almost surely, 2^{2110112120101} is an apocalyptic number.

It is an amenable number.

2110112120101 is a deficient number, since it is larger than the sum of its proper divisors (19532823899).

2110112120101 is a wasteful number, since it uses less digits than its factorization.

2110112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23340.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2110112120101 its reverse (1010212110112), we get a palindrome (3120324230213).

The spelling of 2110112120101 in words is "two trillion, one hundred ten billion, one hundred twelve million, one hundred twenty thousand, one hundred one".