2111012101 has 12 divisors (see below), whose sum is σ = 2364156396. Its totient is φ = 1882886720.

The previous prime is 2111012087. The next prime is 2111012107. The reversal of 2111012101 is 1012101112.

It can be written as a sum of positive squares in 2 ways, for example, as 1826280225 + 284731876 = 42735^2 + 16874^2 .

It is not a de Polignac number, because 2111012101 - 2⁹ = 2111011589 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 (2111012107) 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 11 ways as a sum of consecutive naturals, for example, 158176 + ... + 171001.

It is an arithmetic number, because the mean of its divisors is an integer number (197013033).

Almost surely, 2^2111012101 is an apocalyptic number.

It is an amenable number.

2111012101 is a deficient number, since it is larger than the sum of its proper divisors (253144295).

2111012101 is a wasteful number, since it uses less digits than its factorization.

2111012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329252 (or 329241 counting only the distinct ones).

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

The square root of 2111012101 is about 45945.7517187389. The cubic root of 2111012101 is about 1282.8136553476.

Adding to 2111012101 its reverse (1012101112), we get a palindrome (3123113213).

The spelling of 2111012101 in words is "two billion, one hundred eleven million, twelve thousand, one hundred one".