2110101101101 has 16 divisors (see below), whose sum is σ = 2416728268800. Its totient is φ = 1804772374128.

The previous prime is 2110101101081. The next prime is 2110101101117. The reversal of 2110101101101 is 1011011010112.

It is a cyclic number.

It is not a de Polignac number, because 2110101101101 - 2¹¹ = 2110101099053 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 (2110101101131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10617120 + ... + 10814038.

It is an arithmetic number, because the mean of its divisors is an integer number (151045516800).

Almost surely, 2^{2110101101101} is an apocalyptic number.

It is an amenable number.

2110101101101 is a deficient number, since it is larger than the sum of its proper divisors (306627167699).

2110101101101 is a wasteful number, since it uses less digits than its factorization.

2110101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200208.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2110101101101 its reverse (1011011010112), we get a palindrome (3121112111213).

The spelling of 2110101101101 in words is "two trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one hundred one".