2110002101 has 2 divisors, whose sum is σ = 2110002102. Its totient is φ = 2110002100.

The previous prime is 2110002049. The next prime is 2110002109. The reversal of 2110002101 is 1012000112.

It is an a-pointer prime, because the next prime (2110002109) can be obtained adding 2110002101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1834408900 + 275593201 = 42830^2 + 16601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2110002101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110002109) 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 as a sum of consecutive naturals, namely, 1055001050 + 1055001051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055001051).

Almost surely, 2^2110002101 is an apocalyptic number.

It is an amenable number.

2110002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110002101 is an equidigital number, since it uses as much as digits as its factorization.

2110002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110002101 is about 45934.7591808208. The cubic root of 2110002101 is about 1282.6090380969.

Adding to 2110002101 its reverse (1012000112), we get a palindrome (3122002213).

The spelling of 2110002101 in words is "two billion, one hundred ten million, two thousand, one hundred one".