2102211101 has 2 divisors, whose sum is σ = 2102211102. Its totient is φ = 2102211100.

The previous prime is 2102211077. The next prime is 2102211107. The reversal of 2102211101 is 1011122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1103967076 + 998244025 = 33226^2 + 31595^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102211101 - 2⁶ = 2102211037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051105550 + 1051105551.

It is an arithmetic number, because the mean of its divisors is an integer number (1051105551).

Almost surely, 2^2102211101 is an apocalyptic number.

It is an amenable number.

2102211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102211101 is an equidigital number, since it uses as much as digits as its factorization.

2102211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2102211101 is about 45849.8756923070. The cubic root of 2102211101 is about 1281.0284501763.

Adding to 2102211101 its reverse (1011122012), we get a palindrome (3113333113).

It can be divided in two parts, 21022 and 11101, that added together give a palindrome (32123).

The spelling of 2102211101 in words is "two billion, one hundred two million, two hundred eleven thousand, one hundred one".