2101102110101 has 4 divisors (see below), whose sum is σ = 2101112800332. Its totient is φ = 2101091419872.

The previous prime is 2101102110083. The next prime is 2101102110103. The reversal of 2101102110101 is 1010112011012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1032357602500 + 1068744507601 = 1016050^2 + 1033801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101102110101 - 2²² = 2101097915797 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 (2101102110103) 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 3 ways as a sum of consecutive naturals, for example, 5044670 + ... + 5445263.

It is an arithmetic number, because the mean of its divisors is an integer number (525278200083).

Almost surely, 2^{2101102110101} is an apocalyptic number.

It is an amenable number.

2101102110101 is a deficient number, since it is larger than the sum of its proper divisors (10690231).

2101102110101 is a wasteful number, since it uses less digits than its factorization.

2101102110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690230.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101102110101 its reverse (1010112011012), we get a palindrome (3111214121113).

The spelling of 2101102110101 in words is "two trillion, one hundred one billion, one hundred two million, one hundred ten thousand, one hundred one".