2101100311101 has 24 divisors (see below), whose sum is σ = 3086613000352. Its totient is φ = 1270369346400.

The previous prime is 2101100311073. The next prime is 2101100311117. The reversal of 2101100311101 is 1011130011012.

It is a de Polignac number, because none of the positive numbers 2^k-2101100311101 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 (2101100311151) 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 23 ways as a sum of consecutive naturals, for example, 6721471 + ... + 7027116.

Almost surely, 2^{2101100311101} is an apocalyptic number.

It is an amenable number.

2101100311101 is a deficient number, since it is larger than the sum of its proper divisors (985512689251).

2101100311101 is a wasteful number, since it uses less digits than its factorization.

2101100311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749033 (or 13749022 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 2101100311101 its reverse (1011130011012), we get a palindrome (3112230322113).

The spelling of 2101100311101 in words is "two trillion, one hundred one billion, one hundred million, three hundred eleven thousand, one hundred one".