2112101101 has 24 divisors (see below), whose sum is σ = 2388484224. Its totient is φ = 1865160000.

The previous prime is 2112101053. The next prime is 2112101107. The reversal of 2112101101 is 1011012112.

It is not a de Polignac number, because 2112101101 - 2⁷ = 2112100973 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 (2112101107) 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 23 ways as a sum of consecutive naturals, for example, 1343646 + ... + 1345216.

It is an arithmetic number, because the mean of its divisors is an integer number (99520176).

Almost surely, 2^2112101101 is an apocalyptic number.

It is an amenable number.

2112101101 is a deficient number, since it is larger than the sum of its proper divisors (276383123).

2112101101 is a wasteful number, since it uses less digits than its factorization.

2112101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1894 counting only the distinct ones).

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

The square root of 2112101101 is about 45957.6011232092. The cubic root of 2112101101 is about 1283.0342042050.

Adding to 2112101101 its reverse (1011012112), we get a palindrome (3123113213).

It can be divided in two parts, 2112 and 101101, that multiplied together give a palindrome (213525312).

The spelling of 2112101101 in words is "two billion, one hundred twelve million, one hundred one thousand, one hundred one".