2110012101 has 24 divisors (see below), whose sum is σ = 3073936320. Its totient is φ = 1394654976.

The previous prime is 2110012087. The next prime is 2110012123. The reversal of 2110012101 is 1012100112.

It is a happy number.

It is not a de Polignac number, because 2110012101 - 2¹⁹ = 2109487813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664245 + ... + 667413.

It is an arithmetic number, because the mean of its divisors is an integer number (128080680).

Almost surely, 2^2110012101 is an apocalyptic number.

It is an amenable number.

2110012101 is a deficient number, since it is larger than the sum of its proper divisors (963924219).

2110012101 is a wasteful number, since it uses less digits than its factorization.

2110012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2110012101 is about 45934.8680307237. The cubic root of 2110012101 is about 1282.6110643302.

Adding to 2110012101 its reverse (1012100112), we get a palindrome (3122112213).

The spelling of 2110012101 in words is "two billion, one hundred ten million, twelve thousand, one hundred one".