2102111101 has 2 divisors, whose sum is σ = 2102111102. Its totient is φ = 2102111100.

The previous prime is 2102111093. The next prime is 2102111111. The reversal of 2102111101 is 1011112012.

It is an a-pointer prime, because the next prime (2102111111) can be obtained adding 2102111101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1681820100 + 420291001 = 41010^2 + 20501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102111101 - 2³ = 2102111093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051055550 + 1051055551.

It is an arithmetic number, because the mean of its divisors is an integer number (1051055551).

Almost surely, 2^2102111101 is an apocalyptic number.

It is an amenable number.

2102111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102111101 is an equidigital number, since it uses as much as digits as its factorization.

2102111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2102111101 is about 45848.7851638405. The cubic root of 2102111101 is about 1281.0081374563.

Adding to 2102111101 its reverse (1011112012), we get a palindrome (3113223113).

The spelling of 2102111101 in words is "two billion, one hundred two million, one hundred eleven thousand, one hundred one".