2112011101 has 16 divisors (see below), whose sum is σ = 2322662400. Its totient is φ = 1912680000.

The previous prime is 2112011093. The next prime is 2112011123. The reversal of 2112011101 is 1011102112.

It is a cyclic number.

It is not a de Polignac number, because 2112011101 - 2³ = 2112011093 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 (2112011191) 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, 36676 + ... + 74626.

It is an arithmetic number, because the mean of its divisors is an integer number (145166400).

Almost surely, 2^2112011101 is an apocalyptic number.

It is an amenable number.

2112011101 is a deficient number, since it is larger than the sum of its proper divisors (210651299).

2112011101 is a wasteful number, since it uses less digits than its factorization.

2112011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38100.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2112011101 is about 45956.6219493992. The cubic root of 2112011101 is about 1283.0159799009.

Adding to 2112011101 its reverse (1011102112), we get a palindrome (3123113213).

It can be divided in two parts, 2112011 and 101, that added together give a palindrome (2112112).

The spelling of 2112011101 in words is "two billion, one hundred twelve million, eleven thousand, one hundred one".