2110110002101 has 2 divisors, whose sum is σ = 2110110002102. Its totient is φ = 2110110002100.

The previous prime is 2110110002081. The next prime is 2110110002123. The reversal of 2110110002101 is 1012000110112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1642944587076 + 467165415025 = 1281774^2 + 683495^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110110002101 - 2²⁷ = 2109975784373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110110002191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055055001050 + 1055055001051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055055001051).

Almost surely, 2^{2110110002101} is an apocalyptic number.

It is an amenable number.

2110110002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110110002101 is an equidigital number, since it uses as much as digits as its factorization.

2110110002101 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 10.

Adding to 2110110002101 its reverse (1012000110112), we get a palindrome (3122110112213).

The spelling of 2110110002101 in words is "two trillion, one hundred ten billion, one hundred ten million, two thousand, one hundred one".