2110002110001 has 48 divisors (see below), whose sum is σ = 3076683861888. Its totient is φ = 1393401139200.

The previous prime is 2110002109981. The next prime is 2110002110039. The reversal of 2110002110001 is 1000112000112.

It is a happy number.

It is not a de Polignac number, because 2110002110001 - 2⁹ = 2110002109489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2110002110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487634100 + ... + 487638426.

It is an arithmetic number, because the mean of its divisors is an integer number (64097580456).

Almost surely, 2^{2110002110001} is an apocalyptic number.

It is an amenable number.

2110002110001 is a deficient number, since it is larger than the sum of its proper divisors (966681751887).

2110002110001 is a wasteful number, since it uses less digits than its factorization.

2110002110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5619 counting only the distinct ones).

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

Adding to 2110002110001 its reverse (1000112000112), we get a palindrome (3110114110113).

The spelling of 2110002110001 in words is "two trillion, one hundred ten billion, two million, one hundred ten thousand, one".