2110002002101 has 12 divisors (see below), whose sum is σ = 2454533655948. Its totient is φ = 1808542542912.

The previous prime is 2110002002099. The next prime is 2110002002113. The reversal of 2110002002101 is 1012002000112.

It can be written as a sum of positive squares in 2 ways, for example, as 1163518182225 + 946483819876 = 1078665^2 + 972874^2 .

It is not a de Polignac number, because 2110002002101 - 2¹ = 2110002002099 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 (2110002002131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2847105 + ... + 3510841.

It is an arithmetic number, because the mean of its divisors is an integer number (204544471329).

Almost surely, 2^{2110002002101} is an apocalyptic number.

It is an amenable number.

2110002002101 is a deficient number, since it is larger than the sum of its proper divisors (344531653847).

2110002002101 is an equidigital number, since it uses as much as digits as its factorization.

2110002002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728628 (or 728621 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110002002101 its reverse (1012002000112), we get a palindrome (3122004002213).

The spelling of 2110002002101 in words is "two trillion, one hundred ten billion, two million, two thousand, one hundred one".